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11322612972 = 22331141232459
BaseRepresentation
bin10101000101110000…
…10101110011101100
31002020002111100001000
422202320111303230
5141142042103342
65111310520300
7550404423306
oct124270256354
932202440030
1011322612972
114890357790
12223bb06090
1310b5a11cb8
14795a8c976
1546406844c
hex2a2e15cec

11322612972 has 96 divisors (see below), whose sum is σ = 32804755200. Its totient is φ = 3347395200.

The previous prime is 11322612923. The next prime is 11322612989. The reversal of 11322612972 is 27921622311.

11322612972 is a `hidden beast` number, since 1 + 1 + 32 + 2 + 612 + 9 + 7 + 2 = 666.

11322612972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 67522 + ... + 164937.

It is an arithmetic number, because the mean of its divisors is an integer number (341716200).

Almost surely, 211322612972 is an apocalyptic number.

11322612972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11322612972 is an abundant number, since it is smaller than the sum of its proper divisors (21482142228).

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

11322612972 is a wasteful number, since it uses less digits than its factorization.

11322612972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232524 (or 232516 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The spelling of 11322612972 in words is "eleven billion, three hundred twenty-two million, six hundred twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 492 594 738 902 1107 1188 1353 1476 1804 2214 2706 4059 4428 5412 8118 12177 16236 24354 48708 232459 464918 697377 929836 1394754 2092131 2557049 2789508 4184262 5114098 6276393 7671147 8368524 9530819 10228196 12552786 15342294 19061638 23013441 25105572 28592457 30684588 38123276 46026882 57184914 69040323 85777371 92053764 104839009 114369828 138080646 171554742 209678018 257332113 276161292 314517027 343109484 419356036 514664226 629034054 943551081 1029328452 1258068108 1887102162 2830653243 3774204324 5661306486 11322612972