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10556662992 = 24317373171103
BaseRepresentation
bin10011101010011100…
…11110010011010000
31000020201020001012020
421311032132103100
5133110001203432
64503305531440
7522414104061
oct116516362320
930221201166
1010556662992
114527a63177
1220674a3b80
13cc3121665
14722068568
1541bbba22c
hex27539e4d0

10556662992 has 160 divisors (see below), whose sum is σ = 29776522752. Its totient is φ = 3209306112.

The previous prime is 10556662951. The next prime is 10556663023. The reversal of 10556662992 is 29926665501.

It is a happy number.

10556662992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105566629922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9570313 + ... + 9571415.

Almost surely, 210556662992 is an apocalyptic number.

10556662992 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 10556662992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14888261376).

10556662992 is an abundant number, since it is smaller than the sum of its proper divisors (19219859760).

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

10556662992 is a wasteful number, since it uses less digits than its factorization.

10556662992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 10556662992 in words is "ten billion, five hundred fifty-six million, six hundred sixty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 296 317 408 444 592 629 634 816 888 951 1103 1258 1268 1776 1887 1902 2206 2516 2536 3309 3774 3804 4412 5032 5072 5389 6618 7548 7608 8824 10064 10778 11729 13236 15096 15216 16167 17648 18751 21556 23458 26472 30192 32334 35187 37502 40811 43112 46916 52944 56253 64668 70374 75004 81622 86224 93832 112506 122433 129336 140748 150008 163244 187664 199393 225012 244866 258672 281496 300016 326488 349651 398786 450024 489732 562992 598179 652976 693787 699302 797572 900048 979464 1048953 1196358 1387574 1398604 1595144 1958928 2081361 2097906 2392716 2775148 2797208 3190288 4162722 4195812 4785432 5550296 5594416 5944067 8325444 8391624 9570864 11100592 11888134 12937087 16650888 16783248 17832201 23776268 25874174 33301776 35664402 38811261 47552536 51748348 71328804 77622522 95105072 103496696 142657608 155245044 206993392 219930479 285315216 310490088 439860958 620980176 659791437 879721916 1319582874 1759443832 2639165748 3518887664 5278331496 10556662992