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12140737359264 = 253343932008609
BaseRepresentation
bin1011000010101011110001…
…0101100110110110100000
31120222122100212020201022000
42300222330111212312200
53042403212230444024
641453213332044000
72362065534562203
oct260527425466640
946878325221260
1012140737359264
113960948804968
121440b58463600
136a0b35c71827
142dd88710b93a
15160c1d743cc9
hexb0abc566da0

12140737359264 has 96 divisors (see below), whose sum is σ = 35491146768000. Its totient is φ = 4037693847552.

The previous prime is 12140737359253. The next prime is 12140737359307. The reversal of 12140737359264 is 46295373704121.

12140737359264 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 0 + 7 + 373 + 5 + 9 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12140737359264.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15625009 + ... + 16383600.

It is an arithmetic number, because the mean of its divisors is an integer number (369699445500).

Almost surely, 212140737359264 is an apocalyptic number.

It is an amenable number.

12140737359264 is an abundant number, since it is smaller than the sum of its proper divisors (23350409408736).

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

12140737359264 is a wasteful number, since it uses less digits than its factorization.

12140737359264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32009067 (or 32009053 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 12140737359264 in words is "twelve trillion, one hundred forty billion, seven hundred thirty-seven million, three hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 439 864 878 1317 1756 2634 3512 3951 5268 7024 7902 10536 11853 14048 15804 21072 23706 31608 42144 47412 63216 94824 126432 189648 379296 32008609 64017218 96025827 128034436 192051654 256068872 288077481 384103308 512137744 576154962 768206616 864232443 1024275488 1152309924 1536413232 1728464886 2304619848 3072826464 3456929772 4609239696 6913859544 9218479392 13827719088 14051779351 27655438176 28103558702 42155338053 56207117404 84310676106 112414234808 126466014159 168621352212 224828469616 252932028318 337242704424 379398042477 449656939232 505864056636 674485408848 758796084954 1011728113272 1348970817696 1517592169908 2023456226544 3035184339816 4046912453088 6070368679632 12140737359264