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104525153216 = 2611317396481
BaseRepresentation
bin110000101011000101…
…1110100001111000000
3100222210112111221110222
41201112023310033000
53203031414400331
6120003532442212
710360142100011
oct1412613641700
9328715457428
10104525153216
11403687a6750
1218311319368
139b1a1820b3
1450b8037008
152abb645b7b
hex18562f43c0

104525153216 has 112 divisors (see below), whose sum is σ = 233924490240. Its totient is φ = 45909504000.

The previous prime is 104525153197. The next prime is 104525153233. The reversal of 104525153216 is 612351525401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16124696 + ... + 16131176.

It is an arithmetic number, because the mean of its divisors is an integer number (2088611520).

Almost surely, 2104525153216 is an apocalyptic number.

104525153216 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 104525153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116962245120).

104525153216 is an abundant number, since it is smaller than the sum of its proper divisors (129399337024).

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

104525153216 is a wasteful number, since it uses less digits than its factorization.

104525153216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 104525153216 its reverse (612351525401), we get a palindrome (716876678617).

The spelling of 104525153216 in words is "one hundred four billion, five hundred twenty-five million, one hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 739 992 1364 1478 1984 2728 2956 5456 5912 6481 8129 10912 11824 12962 16258 21824 22909 23648 25924 32516 45818 47296 51848 65032 71291 91636 103696 130064 142582 183272 200911 207392 251999 260128 285164 366544 401822 414784 503998 520256 570328 733088 803644 1007996 1140656 1466176 1607288 2015992 2210021 2281312 3214576 4031984 4420042 4562624 4789459 6429152 8063968 8840084 9578918 12858304 16127936 17680168 19157836 35360336 38315672 52684049 70720672 76631344 105368098 141441344 148473229 153262688 210736196 296946458 306525376 421472392 593892916 842944784 1187785832 1633205519 1685889568 2375571664 3266411038 3371779136 4751143328 6532822076 9502286656 13065644152 26131288304 52262576608 104525153216