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104455252332 = 2232113193233571
BaseRepresentation
bin110000101001000000…
…1001010100101101100
3100222121122222121111100
41201102001022211230
53202411021033312
6115552554323100
710355332665234
oct1412201124554
9328548877440
10104455252332
11403322a3122
12182b1a29490
139b08849722
1450aca3ccc4
152ab54395dc
hex185204a96c

104455252332 has 144 divisors (see below), whose sum is σ = 269376595488. Its totient is φ = 34124267520.

The previous prime is 104455252331. The next prime is 104455252427. The reversal of 104455252332 is 233252554401.

104455252332 is a `hidden beast` number, since 10 + 4 + 45 + 52 + 523 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104455252331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182933607 + ... + 182934177.

It is an arithmetic number, because the mean of its divisors is an integer number (1870670802).

Almost surely, 2104455252332 is an apocalyptic number.

104455252332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104455252332 is an abundant number, since it is smaller than the sum of its proper divisors (164921343156).

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

104455252332 is a wasteful number, since it uses less digits than its factorization.

104455252332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 104455252332 in words is "one hundred four billion, four hundred fifty-five million, two hundred fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 193 226 233 339 386 452 466 571 579 678 699 772 932 1017 1142 1158 1356 1398 1713 1737 2034 2097 2284 2316 2796 3426 3474 4068 4194 5139 6852 6948 8388 10278 20556 21809 26329 43618 44969 52658 64523 65427 78987 87236 89938 105316 110203 129046 130854 133043 134907 157974 179876 193569 196281 220406 236961 258092 261708 266086 269814 315948 330609 387138 392562 399129 404721 440812 473922 532172 539628 580707 661218 774276 785124 798258 809442 947844 991827 1161414 1197387 1322436 1596516 1618884 1983654 2322828 2394774 3967308 4789548 5081497 10162994 12452939 15033859 15244491 20325988 24905878 25677299 30067718 30488982 37358817 45101577 45733473 49811756 51354598 60135436 60977964 74717634 77031897 90203154 91466946 102709196 112076451 135304731 149435268 154063794 180406308 182933892 224152902 231095691 270609462 308127588 448305804 462191382 541218924 924382764 2901534787 5803069574 8704604361 11606139148 17409208722 26113813083 34818417444 52227626166 104455252332