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12137733624324 = 22372111876582193
BaseRepresentation
bin1011000010100000100101…
…0011010001001000000100
31120222100121112012011120210
42300220021103101020010
53042331034301434244
641451555311355420
72361631232342400
oct260501123211004
946870545164523
1012137733624324
11395a6472233a0
12144045a522b70
136a0777880289
142dd680212100
15160ae4bb34b9
hexb0a094d1204

12137733624324 has 72 divisors (see below), whose sum is σ = 35940302179488. Its totient is φ = 3152658082560.

The previous prime is 12137733624311. The next prime is 12137733624337. The reversal of 12137733624324 is 42342633773121.

It is an interprime number because it is at equal distance from previous prime (12137733624311) and next prime (12137733624337).

It is a nude number because it is divisible by every one of its digits.

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, 938284629 + ... + 938297564.

It is an arithmetic number, because the mean of its divisors is an integer number (499170863604).

Almost surely, 212137733624324 is an apocalyptic number.

12137733624324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12137733624324 is an abundant number, since it is smaller than the sum of its proper divisors (23802568555164).

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

12137733624324 is a wasteful number, since it uses less digits than its factorization.

12137733624324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876582225 (or 1876582216 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 48.

The spelling of 12137733624324 in words is "twelve trillion, one hundred thirty-seven billion, seven hundred thirty-three million, six hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 1876582193 3753164386 5629746579 7506328772 11259493158 13136075351 20642404123 22518986316 26272150702 39408226053 41284808246 52544301404 61927212369 78816452106 82569616492 91952527457 123854424738 144496828861 157632904212 183905054914 247708849476 275857582371 288993657722 367810109828 433490486583 551715164742 577987315444 866980973166 1011477802027 1103430329484 1733961946332 2022955604054 3034433406081 4045911208108 6068866812162 12137733624324