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155381158368 = 25328927122369
BaseRepresentation
bin1001000010110101110…
…0000101000111100000
3112212001210001200102100
42100231130011013200
510021210034031433
6155214153250400
714140330024422
oct2205534050740
9485053050370
10155381158368
115a995682077
1226144a03a00
1311863383537
147740310812
154096226b13
hex242d7051e0

155381158368 has 144 divisors (see below), whose sum is σ = 448498814400. Its totient is φ = 51020513280.

The previous prime is 155381158327. The next prime is 155381158369. The reversal of 155381158368 is 863851183551.

155381158368 is a `hidden beast` number, since 1 + 5 + 53 + 8 + 1 + 1 + 583 + 6 + 8 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155381158369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6935088 + ... + 6957456.

It is an arithmetic number, because the mean of its divisors is an integer number (3114575100).

Almost surely, 2155381158368 is an apocalyptic number.

155381158368 is a gapful number since it is divisible by the number (18) 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 155381158368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224249407200).

155381158368 is an abundant number, since it is smaller than the sum of its proper divisors (293117656032).

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

155381158368 is a wasteful number, since it uses less digits than its factorization.

155381158368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22745 (or 22734 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The spelling of 155381158368 in words is "one hundred fifty-five billion, three hundred eighty-one million, one hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 271 288 356 534 542 712 801 813 1068 1084 1424 1602 1626 2136 2168 2439 2848 3204 3252 4272 4336 4878 6408 6504 8544 8672 9756 12816 13008 19512 22369 24119 25632 26016 39024 44738 48238 67107 72357 78048 89476 96476 134214 144714 178952 192952 201321 217071 268428 289428 357904 385904 402642 434142 536856 578856 715808 771808 805284 868284 1073712 1157712 1610568 1736568 1990841 2147424 2315424 3221136 3473136 3981682 5972523 6061999 6442272 6946272 7963364 11945046 12123998 15926728 17917569 18185997 23890092 24247996 31853456 35835138 36371994 47780184 48495992 54557991 63706912 71670276 72743988 95560368 96991984 109115982 143340552 145487976 191120736 193983968 218231964 286681104 290975952 436463928 539517911 573362208 581951904 872927856 1079035822 1618553733 1745855712 2158071644 3237107466 4316143288 4855661199 6474214932 8632286576 9711322398 12948429864 17264573152 19422644796 25896859728 38845289592 51793719456 77690579184 155381158368