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155160122655456 = 253219159731775201
BaseRepresentation
bin100011010001111000000111…
…111111101000001011100000
3202100101011101201121121111100
4203101320013333220023200
5130314120412344433311
61305555324252514400
744452643324503032
oct4321700777501340
9670334351547440
10155160122655456
114549104724a826
121549b0a317ba00
1368766c9413589
142a45b0bac3c52
1512e110e26aa56
hex8d1e07fe82e0

155160122655456 has 144 divisors (see below), whose sum is σ = 464488917132240. Its totient is φ = 48994838323200.

The previous prime is 155160122655449. The next prime is 155160122655493. The reversal of 155160122655456 is 654556221061551.

155160122655456 is a `hidden beast` number, since 1 + 5 + 5 + 1 + 6 + 0 + 12 + 26 + 554 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86516656 + ... + 88291856.

It is an arithmetic number, because the mean of its divisors is an integer number (3225617480085).

Almost surely, 2155160122655456 is an apocalyptic number.

155160122655456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155160122655456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232244458566120).

155160122655456 is an abundant number, since it is smaller than the sum of its proper divisors (309328794476784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155160122655456 is a wasteful number, since it uses less digits than its factorization.

155160122655456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791209 (or 1791198 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 54.

The spelling of 155160122655456 in words is "one hundred fifty-five trillion, one hundred sixty billion, one hundred twenty-two million, six hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 15973 31946 47919 63892 95838 127784 143757 191676 255568 287514 303487 383352 511136 575028 606974 766704 910461 1150056 1213948 1533408 1775201 1820922 2300112 2427896 2731383 3550402 3641844 4600224 4855792 5325603 5462766 7100804 7283688 9711584 10651206 10925532 14201608 14567376 15976809 21302412 21851064 28403216 29134752 31953618 33728819 42604824 43702128 56806432 63907236 67457638 85209648 87404256 101186457 127814472 134915276 170419296 202372914 255628944 269830552 303559371 404745828 511257888 539661104 607118742 809491656 1079322208 1214237484 1618983312 2428474968 3237966624 4856949936 9713899872 28355285573 56710571146 85065856719 113421142292 170131713438 226842284584 255197570157 340263426876 453684569168 510395140314 538750425887 680526853752 907369138336 1020790280628 1077500851774 1361053707504 1616251277661 2041580561256 2155001703548 2722107415008 3232502555322 4083161122512 4310003407096 4848753832983 6465005110644 8166322245024 8620006814192 9697507665966 12930010221288 17240013628384 19395015331932 25860020442576 38790030663864 51720040885152 77580061327728 155160122655456