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104876732576 = 2571124578467
BaseRepresentation
bin110000110101100100…
…0111111000010100000
3101000201001002000200202
41201223020333002200
53204241420420301
6120102452204332
710401641342510
oct1415310770240
9330631060622
10104876732576
11405291aa500
12183ab0096a8
139b74c6c115
14510c9d5840
152adc44266b
hex186b23f0a0

104876732576 has 144 divisors (see below), whose sum is σ = 259973155008. Its totient is φ = 40766837760.

The previous prime is 104876732539. The next prime is 104876732579. The reversal of 104876732576 is 675237678401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (104876732579) 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, 12382295 + ... + 12390761.

It is an arithmetic number, because the mean of its divisors is an integer number (1805369132).

Almost surely, 2104876732576 is an apocalyptic number.

104876732576 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 104876732576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129986577504).

104876732576 is an abundant number, since it is smaller than the sum of its proper divisors (155096422432).

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

104876732576 is a wasteful number, since it uses less digits than its factorization.

104876732576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963 (or 8944 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 56.

The spelling of 104876732576 in words is "one hundred four billion, eight hundred seventy-six million, seven hundred thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 457 484 616 847 914 968 1232 1694 1828 1936 2464 3199 3388 3656 3872 5027 6398 6776 7312 8467 10054 12796 13552 14624 16934 20108 25592 27104 33868 35189 40216 51184 55297 59269 67736 70378 80432 93137 102368 110594 118538 135472 140756 160864 186274 221188 237076 270944 281512 372548 387079 442376 474152 563024 651959 745096 774158 884752 948304 1024507 1126048 1303918 1490192 1548316 1769504 1896608 2049014 2607836 2980384 3096632 3869419 4098028 5215672 6193264 7171549 7738838 8196056 10431344 12386528 14343098 15477676 16392112 20862688 27085933 28686196 30955352 32784224 42563609 54171866 57372392 61910704 85127218 108343732 114744784 123821408 170254436 216687464 229489568 297945263 340508872 433374928 468199699 595890526 681017744 866749856 936399398 1191781052 1362035488 1872798796 2383562104 3277397893 3745597592 4767124208 6554795786 7491195184 9534248416 13109591572 14982390368 26219183144 52438366288 104876732576