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104055153152 = 291983128873
BaseRepresentation
bin110000011101000101…
…0111010001000000000
3100221120210010110121012
41200322022322020000
53201101104400102
6115445143020052
710342404131306
oct1407212721000
9327523113535
10104055153152
114014746a745
12181bba3a628
139a739a1c52
145071850276
152a90256752
hex183a2ba200

104055153152 has 80 divisors (see below), whose sum is σ = 221488011360. Its totient is φ = 48695058432.

The previous prime is 104055153149. The next prime is 104055153157. The reversal of 104055153152 is 251351550401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (104055153157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 742988 + ... + 871860.

It is an arithmetic number, because the mean of its divisors is an integer number (2768600142).

Almost surely, 2104055153152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104055153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110744005680).

104055153152 is an abundant number, since it is smaller than the sum of its proper divisors (117432858208).

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

104055153152 is an equidigital number, since it uses as much as digits as its factorization.

104055153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128993 (or 128977 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 104055153152 in words is "one hundred four billion, fifty-five million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 128 152 166 256 304 332 512 608 664 1216 1328 1577 2432 2656 3154 4864 5312 6308 9728 10624 12616 21248 25232 42496 50464 100928 128873 201856 257746 403712 515492 807424 1030984 2061968 2448587 4123936 4897174 8247872 9794348 10696459 16495744 19588696 21392918 32991488 39177392 42785836 65982976 78354784 85571672 156709568 171143344 203232721 313419136 342286688 406465442 626838272 684573376 812930884 1253676544 1369146752 1625861768 2738293504 3251723536 5476587008 6503447072 13006894144 26013788288 52027576576 104055153152