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10792084032 = 263313745587
BaseRepresentation
bin10100000110100001…
…00010001001000000
31000212010012200011000
422003100202021000
5134100233142112
64542515452000
7531303125562
oct120320421100
930763180130
1010792084032
114638939514
1221122b7000
13102cb2b252
1474542b332
154326be7dc
hex283422240

10792084032 has 112 divisors (see below), whose sum is σ = 31959011520. Its totient is φ = 3571024896.

The previous prime is 10792083979. The next prime is 10792084049. The reversal of 10792084032 is 23048029701.

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

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, 213943 + ... + 259529.

Almost surely, 210792084032 is an apocalyptic number.

10792084032 is a gapful number since it is divisible by the number (12) 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 10792084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15979505760).

10792084032 is an abundant number, since it is smaller than the sum of its proper divisors (21166927488).

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

10792084032 is a wasteful number, since it uses less digits than its factorization.

10792084032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45745 (or 45729 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10792084032 in words is "ten billion, seven hundred ninety-two million, eighty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 137 144 192 216 274 288 411 432 548 576 822 864 1096 1233 1644 1728 2192 2466 3288 3699 4384 4932 6576 7398 8768 9864 13152 14796 19728 26304 29592 39456 45587 59184 78912 91174 118368 136761 182348 236736 273522 364696 410283 547044 729392 820566 1094088 1230849 1458784 1641132 2188176 2461698 2917568 3282264 4376352 4923396 6245419 6564528 8752704 9846792 12490838 13129056 18736257 19693584 24981676 26258112 37472514 39387168 49963352 56208771 74945028 78774336 99926704 112417542 149890056 168626313 199853408 224835084 299780112 337252626 399706816 449670168 599560224 674505252 899340336 1199120448 1349010504 1798680672 2698021008 3597361344 5396042016 10792084032