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102026132864424 = 23322638815369957
BaseRepresentation
bin10111001100101011001111…
…011010000011110110101000
3111101020121021121202102220100
4113030223033122003312220
5101333044010003130144
61000554054113425400
730330100453263366
oct2714531732036650
9441217247672810
10102026132864424
112a56604920587a
12b53942156b260
1344c103b8301b2
141b2a13c2a0636
15bbde01b48269
hex5ccacf683da8

102026132864424 has 48 divisors (see below), whose sum is σ = 276321875106420. Its totient is φ = 34008575742720.

The previous prime is 102026132864377. The next prime is 102026132864429. The reversal of 102026132864424 is 424468231620201.

102026132864424 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 613 + 2 + 8 + 6 + 4 + 4 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97363254067524 + 4662878796900 = 9867282^2 + 2159370^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102026132864424.

It is not an unprimeable number, because it can be changed into a prime (102026132864429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16314454 + ... + 21684410.

Almost surely, 2102026132864424 is an apocalyptic number.

It is an amenable number.

102026132864424 is an abundant number, since it is smaller than the sum of its proper divisors (174295742241996).

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

102026132864424 is a wasteful number, since it uses less digits than its factorization.

102026132864424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633850 (or 5633843 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 102026132864424 in words is "one hundred two trillion, twenty-six billion, one hundred thirty-two million, eight hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 263881 527762 791643 1055524 1583286 2111048 2374929 3166572 4749858 5369957 6333144 9499716 10739914 16109871 18999432 21479828 32219742 42959656 48329613 64439484 96659226 128878968 193318452 386636904 1417029623117 2834059246234 4251088869351 5668118492468 8502177738702 11336236984936 12753266608053 17004355477404 25506533216106 34008710954808 51013066432212 102026132864424