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123940511616 = 273373865313
BaseRepresentation
bin111001101101101101…
…1100001111110000000
3102211220121221100020010
41303123123201332000
54012312232332431
6132534255144520
711645234652315
oct1633333417600
9384817840203
10123940511616
1148621207899
122002b515140
13b8c26aa94c
145dda812d0c
153355dc9846
hex1cdb6e1f80

123940511616 has 64 divisors (see below), whose sum is σ = 330099984720. Its totient is φ = 41202696192.

The previous prime is 123940511603. The next prime is 123940511621. The reversal of 123940511616 is 616115049321.

123940511616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1239405116162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289425 + ... + 575888.

Almost surely, 2123940511616 is an apocalyptic number.

123940511616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123940511616 is an abundant number, since it is smaller than the sum of its proper divisors (206159473104).

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

123940511616 is an equidigital number, since it uses as much as digits as its factorization.

123940511616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865703 (or 865691 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 123940511616 in words is "one hundred twenty-three billion, nine hundred forty million, five hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 373 384 746 1119 1492 2238 2984 4476 5968 8952 11936 17904 23872 35808 47744 71616 143232 865313 1730626 2595939 3461252 5191878 6922504 10383756 13845008 20767512 27690016 41535024 55380032 83070048 110760064 166140096 322761749 332280192 645523498 968285247 1291046996 1936570494 2582093992 3873140988 5164187984 7746281976 10328375968 15492563952 20656751936 30985127904 41313503872 61970255808 123940511616