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163061472 = 25371671453
BaseRepresentation
bin10011011100000…
…01111011100000
3102100211101021210
421232001323200
5313220431342
624102550120
74016666610
oct1156017340
9370741253
10163061472
1184053552
1246738340
1327a230a2
1417928a40
15e4ae79c
hex9b81ee0

163061472 has 96 divisors (see below), whose sum is σ = 492452352. Its totient is φ = 46278144.

The previous prime is 163061453. The next prime is 163061491. The reversal of 163061472 is 274160361.

It is an interprime number because it is at equal distance from previous prime (163061453) and next prime (163061491).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111498 + ... + 112950.

It is an arithmetic number, because the mean of its divisors is an integer number (5129712).

Almost surely, 2163061472 is an apocalyptic number.

163061472 is a gapful number since it is divisible by the number (12) 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 163061472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246226176).

163061472 is an abundant number, since it is smaller than the sum of its proper divisors (329390880).

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

163061472 is a wasteful number, since it uses less digits than its factorization.

163061472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 163061472 is about 12769.5525371878. The cubic root of 163061472 is about 546.3242180714.

The spelling of 163061472 in words is "one hundred sixty-three million, sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 167 168 224 334 336 501 668 672 1002 1169 1336 1453 2004 2338 2672 2906 3507 4008 4359 4676 5344 5812 7014 8016 8718 9352 10171 11624 14028 16032 17436 18704 20342 23248 28056 30513 34872 37408 40684 46496 56112 61026 69744 81368 112224 122052 139488 162736 242651 244104 325472 485302 488208 727953 970604 976416 1455906 1698557 1941208 2911812 3397114 3882416 5095671 5823624 6794228 7764832 10191342 11647248 13588456 20382684 23294496 27176912 40765368 54353824 81530736 163061472