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10552812424 = 23711173132507
BaseRepresentation
bin10011101001111111…
…10010001110001000
31000020102222102012121
421310333302032020
5133103004444144
64503051221024
7522336265660
oct116477621610
930212872177
1010552812424
114525873190
122066147774
13cc23a3b0b
147217451a0
1541b6a9384
hex274ff2388

10552812424 has 128 divisors (see below), whose sum is σ = 26963435520. Its totient is φ = 3744691200.

The previous prime is 10552812409. The next prime is 10552812461. The reversal of 10552812424 is 42421825501.

It is a super-2 number, since 2×105528124242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 10552812424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308379 + ... + 340885.

It is an arithmetic number, because the mean of its divisors is an integer number (210651840).

Almost surely, 210552812424 is an apocalyptic number.

10552812424 is a gapful number since it is divisible by the number (14) 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 10552812424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13481717760).

10552812424 is an abundant number, since it is smaller than the sum of its proper divisors (16410623096).

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

10552812424 is a wasteful number, since it uses less digits than its factorization.

10552812424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32579 (or 32575 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The spelling of 10552812424 in words is "ten billion, five hundred fifty-two million, eight hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 31 34 44 56 62 68 77 88 119 124 136 154 187 217 238 248 308 341 374 434 476 527 616 682 748 868 952 1054 1309 1364 1496 1736 2108 2387 2618 2728 3689 4216 4774 5236 5797 7378 9548 10472 11594 14756 19096 23188 29512 32507 40579 46376 65014 81158 130028 162316 227549 260056 324632 357577 455098 552619 715154 910196 1007717 1105238 1430308 1820392 2015434 2210476 2503039 2860616 3868333 4030868 4420952 5006078 6078809 7054019 7736666 8061736 10012156 11084887 12157618 14108038 15473332 17131189 20024312 22169774 24315236 28216076 30946664 34262378 42551663 44339548 48630472 56432152 68524756 77594209 85103326 88679096 119918323 137049512 155188418 170206652 188443079 239836646 310376836 340413304 376886158 479673292 620753672 753772316 959346584 1319101553 1507544632 2638203106 5276406212 10552812424