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104680956528 = 2434233511841
BaseRepresentation
bin110000101111101111…
…0001010001001110000
3101000012101200120110000
41201133132022021300
53203341311102103
6120031220110000
710364043310041
oct1413736121160
9330171616400
10104680956528
1140438742015
1218355535300
139b435335c5
1450d09d28c8
152aca16eaa3
hex185f78a270

104680956528 has 100 divisors (see below), whose sum is σ = 316150064208. Its totient is φ = 33376527360.

The previous prime is 104680956503. The next prime is 104680956539. The reversal of 104680956528 is 825659086401.

104680956528 is a `hidden beast` number, since 1 + 0 + 4 + 68 + 0 + 9 + 56 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1726113 + ... + 1785728.

Almost surely, 2104680956528 is an apocalyptic number.

104680956528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104680956528 is an abundant number, since it is smaller than the sum of its proper divisors (211469107680).

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

104680956528 is a wasteful number, since it uses less digits than its factorization.

104680956528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511884 (or 3511869 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

It can be divided in two parts, 104680 and 956528, that added together give a cube (1061208 = 1023).

The spelling of 104680956528 in words is "one hundred four billion, six hundred eighty million, nine hundred fifty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4968 7452 9936 14904 29808 3511841 7023682 10535523 14047364 21071046 28094728 31606569 42142092 56189456 63213138 80772343 84284184 94819707 126426276 161544686 168568368 189639414 242317029 252852552 284459121 323089372 379278828 484634058 505705104 568918242 646178744 726951087 758557656 969268116 1137836484 1292357488 1453902174 1517115312 1938536232 2180853261 2275672968 2907804348 3877072464 4361706522 4551345936 5815608696 6542559783 8723413044 11631217392 13085119566 17446826088 26170239132 34893652176 52340478264 104680956528