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13002000010992 = 24322332191121951
BaseRepresentation
bin1011110100110100001110…
…0101111000111011110000
31201000222102201212121120200
42331031003211320323300
53201011044000322432
643353011503435200
72511235452410256
oct275150345707360
951028381777520
1013002000010992
114163132054643
12155ba5b5b5b00
13734111137785
1432d42b8c45d6
1517832a04ca7c
hexbd343978ef0

13002000010992 has 120 divisors (see below), whose sum is σ = 37971099598848. Its totient is φ = 4145402448000.

The previous prime is 13002000010873. The next prime is 13002000011009. The reversal of 13002000010992 is 29901000020031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106555617 + ... + 106677567.

Almost surely, 213002000010992 is an apocalyptic number.

13002000010992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13002000010992 is an abundant number, since it is smaller than the sum of its proper divisors (24969099587856).

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

13002000010992 is a wasteful number, since it uses less digits than its factorization.

13002000010992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154179 (or 154170 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 13002000010992 in words is "thirteen trillion, two billion, ten thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 32191 64382 96573 121951 128764 193146 243902 257528 289719 365853 386292 487804 515056 579438 731706 740393 772584 975608 1097559 1158876 1463412 1480786 1545168 1951216 2195118 2221179 2317752 2804873 2926824 2961572 4390236 4442358 4635504 5609746 5853648 5923144 6663537 8414619 8780472 8884716 11219492 11846288 13327074 16829238 17560944 17769432 22438984 25243857 26654148 33658476 35538864 44877968 50487714 53308296 67316952 100975428 106616592 134633904 201950856 403901712 3925724641 7851449282 11777173923 15702898564 23554347846 31405797128 35331521769 47108695692 62811594256 70663043538 90291666743 94217391384 141326087076 180583333486 188434782768 270875000229 282652174152 361166666972 541750000458 565304348304 722333333944 812625000687 1083500000916 1444666667888 1625250001374 2167000001832 3250500002748 4334000003664 6501000005496 13002000010992