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10875593137696 = 257232972791237
BaseRepresentation
bin1001111001000010101111…
…0111011001111000100000
31102111200210210012021012121
42132100223313121320200
52411141203320401241
635044102320434024
72201510223252010
oct236205367317040
942450723167177
1010875593137696
113513349888a31
12127791a178914
1360b744243371
1429854ac49c40
1513cd748b1ad1
hex9e42bdd9e20

10875593137696 has 96 divisors (see below), whose sum is σ = 26414484445440. Its totient is φ = 4304582532096.

The previous prime is 10875593137687. The next prime is 10875593137711. The reversal of 10875593137696 is 69673139557801.

10875593137696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 36246211 + ... + 36545026.

It is an arithmetic number, because the mean of its divisors is an integer number (275150879640).

Almost surely, 210875593137696 is an apocalyptic number.

10875593137696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10875593137696 is an abundant number, since it is smaller than the sum of its proper divisors (15538891307744).

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

10875593137696 is a wasteful number, since it uses less digits than its factorization.

10875593137696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72791306 (or 72791298 counting only the distinct ones).

The product of its (nonzero) digits is 257191200, while the sum is 70.

The spelling of 10875593137696 in words is "ten trillion, eight hundred seventy-five billion, five hundred ninety-three million, one hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 92 112 116 161 184 203 224 232 322 368 406 464 644 667 736 812 928 1288 1334 1624 2576 2668 3248 4669 5152 5336 6496 9338 10672 18676 21344 37352 74704 149408 72791237 145582474 291164948 509538659 582329896 1019077318 1164659792 1674198451 2038154636 2110945873 2329319584 3348396902 4076309272 4221891746 6696793804 8152618544 8443783492 11719389157 13393587608 14776621111 16305237088 16887566984 23438778314 26787175216 29553242222 33775133968 46877556628 48551755079 53574350432 59106484444 67550267936 93755113256 97103510158 118212968888 187510226512 194207020316 236425937776 339862285553 375020453024 388414040632 472851875552 679724571106 776828081264 1359449142212 1553656162528 2718898284424 5437796568848 10875593137696