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168986007314496 = 263397792828307
BaseRepresentation
bin100110011011000100011110…
…111100000010000001000000
3211011022220102101210210122000
4212123010132330002001000
5134122131320333030441
61355223033335544000
750410556536163631
oct4633043674020100
9734286371723560
10168986007314496
1149931621744709
1216b52753b2b000
13733a409936648
142da2d75add888
151480aa93b32b6
hex99b11ef02040

168986007314496 has 56 divisors (see below), whose sum is σ = 496787567804640. Its totient is φ = 56328669104256.

The previous prime is 168986007314461. The next prime is 168986007314513. The reversal of 168986007314496 is 694413700689861.

It is a happy number.

168986007314496 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 8 + 60 + 0 + 73 + 1 + 4 + 496 = 666.

168986007314496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1689860073144962 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 48896412426 + ... + 48896415881.

It is an arithmetic number, because the mean of its divisors is an integer number (8871206567940).

Almost surely, 2168986007314496 is an apocalyptic number.

168986007314496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

168986007314496 is an abundant number, since it is smaller than the sum of its proper divisors (327801560490144).

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

168986007314496 is an equidigital number, since it uses as much as digits as its factorization.

168986007314496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97792828328 (or 97792828312 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 168986007314496 in words is "one hundred sixty-eight trillion, nine hundred eighty-six billion, seven million, three hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 97792828307 195585656614 293378484921 391171313228 586756969842 782342626456 880135454763 1173513939684 1564685252912 1760270909526 2347027879368 2640406364289 3129370505824 3520541819052 4694055758736 5280812728578 6258741011648 7041083638104 9388111517472 10561625457156 14082167276208 18776223034944 21123250914312 28164334552416 42246501828624 56328669104832 84493003657248 168986007314496