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468166943890848 = 253183123371113963
BaseRepresentation
bin110101001110010111001110…
…0011000101101110110100000
32021101122022201021102101110210
41222130232130120231312200
5442330421400114001343
64335412531440254120
7200416642206512256
oct15234563430556640
92241568637371423
10468166943890848
11126199538815064
1244611a82311340
131712cc51748c57
1483875884465d6
15391d16b018333
hex1a9cb9c62dda0

468166943890848 has 96 divisors (see below), whose sum is σ = 1229672814515712. Its totient is φ = 155962376006400.

The previous prime is 468166943890729. The next prime is 468166943890907. The reversal of 468166943890848 is 848098349661864.

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

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, 4108003915 + ... + 4108117877.

It is an arithmetic number, because the mean of its divisors is an integer number (12809091817872).

Almost surely, 2468166943890848 is an apocalyptic number.

468166943890848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468166943890848 is an abundant number, since it is smaller than the sum of its proper divisors (761505870624864).

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

468166943890848 is a wasteful number, since it uses less digits than its factorization.

468166943890848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139178 (or 139170 counting only the distinct ones).

The product of its (nonzero) digits is 13759414272, while the sum is 84.

The spelling of 468166943890848 in words is "four hundred sixty-eight trillion, one hundred sixty-six billion, nine hundred forty-three million, eight hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1831 3662 5493 7324 10986 14648 21972 23371 29296 43944 46742 58592 70113 87888 93484 113963 140226 175776 186968 227926 280452 341889 373936 455852 560904 683778 747872 911704 1121808 1367556 1823408 2243616 2735112 3646816 5470224 10940448 42792301 85584602 128376903 171169204 208666253 256753806 342338408 417332506 513507612 625998759 684676816 834665012 1027015224 1251997518 1369353632 1669330024 2054030448 2503995036 2663429273 3338660048 4108060896 5007990072 5326858546 6677320096 7990287819 10015980144 10653717092 15980575638 20031960288 21307434184 31961151276 42614868368 63922302552 85229736736 127844605104 255689210208 4876738998863 9753477997726 14630216996589 19506955995452 29260433993178 39013911990904 58520867986356 78027823981808 117041735972712 156055647963616 234083471945424 468166943890848