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12334712919564 = 22372335111818407
BaseRepresentation
bin1011001101111110011000…
…1011101001011000001100
31121200012001100111011011010
42303133212023221120030
53104042443001411224
642122253333325220
72412103453621110
oct263374613513014
947605040434133
1012334712919564
113a26138972382
121472672496810
136b620a118a89
1430900905b740
15165cc2d53e29
hexb37e62e960c

12334712919564 has 96 divisors (see below), whose sum is σ = 34332474064896. Its totient is φ = 3370015471680.

The previous prime is 12334712919469. The next prime is 12334712919593. The reversal of 12334712919564 is 46591921743321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5874049 + ... + 7692455.

It is an arithmetic number, because the mean of its divisors is an integer number (357629938176).

Almost surely, 212334712919564 is an apocalyptic number.

12334712919564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12334712919564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17166237032448).

12334712919564 is an abundant number, since it is smaller than the sum of its proper divisors (21997761145332).

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

12334712919564 is a wasteful number, since it uses less digits than its factorization.

12334712919564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821955 (or 1821953 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The spelling of 12334712919564 in words is "twelve trillion, three hundred thirty-four billion, seven hundred twelve million, nine hundred nineteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 3511 7022 10533 14044 21066 24577 42132 49154 73731 80753 98308 147462 161506 242259 294924 323012 484518 565271 969036 1130542 1695813 1818407 2261084 3391626 3636814 5455221 6783252 7273628 10910442 12728849 21820884 25457698 38186547 41823361 50915396 76373094 83646722 125470083 152746188 167293444 250940166 292763527 501880332 585527054 878290581 1171054108 1756581162 3513162324 6384426977 12768853954 19153280931 25537707908 38306561862 44690988839 76613123724 89381977678 134072966517 146841820471 178763955356 268145933034 293683640942 440525461413 536291866068 587367281884 881050922826 1027892743297 1762101845652 2055785486594 3083678229891 4111570973188 6167356459782 12334712919564