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12315426460410 = 235672711288013
BaseRepresentation
bin1011001100110110100010…
…0111101001001011111010
31121121100021020121111221010
42303031220213221023322
53103233443133213120
642105343453454350
72410521514463163
oct263155047511372
947540236544833
1012315426460410
113a18a411a1137
12146a98b4a13b6
136b4455511978
143080d983676a
15165544a827e0
hexb33689e92fa

12315426460410 has 96 divisors (see below), whose sum is σ = 30427383272832. Its totient is φ = 3189529875840.

The previous prime is 12315426460367. The next prime is 12315426460433. The reversal of 12315426460410 is 1406462451321.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8917564 + ... + 10205576.

It is an arithmetic number, because the mean of its divisors is an integer number (316951909092).

Almost surely, 212315426460410 is an apocalyptic number.

12315426460410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12315426460410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213691636416).

12315426460410 is an abundant number, since it is smaller than the sum of its proper divisors (18111956812422).

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

12315426460410 is a wasteful number, since it uses less digits than its factorization.

12315426460410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288228 (or 1288161 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 12315426460410 in words is "twelve trillion, three hundred fifteen billion, four hundred twenty-six million, four hundred sixty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 67 71 134 142 201 213 335 355 402 426 670 710 1005 1065 2010 2130 4489 4757 8978 9514 13467 14271 22445 23785 26934 28542 44890 47570 67335 71355 134670 142710 318719 637438 956157 1288013 1593595 1912314 2576026 3187190 3864039 4780785 6440065 7728078 9561570 12880130 19320195 38640390 86296871 91448923 172593742 182897846 258890613 274346769 431484355 457244615 517781226 548693538 862968710 914489230 1294453065 1371733845 2588906130 2743467690 5781890357 6127077841 11563780714 12254155682 17345671071 18381233523 28909451785 30635389205 34691342142 36762467046 57818903570 61270778410 86728355355 91906167615 173456710710 183812335230 410514215347 821028430694 1231542646041 2052571076735 2463085292082 4105142153470 6157713230205 12315426460410