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7971448716 = 223271117169159
BaseRepresentation
bin1110110110010001…
…01010011110001100
3202120112200112220100
413123020222132030
5112311142324331
63354555451100
7401353124160
oct73310523614
922515615810
107971448716
113420747450
121665756a90
139a065767a
14558994ca0
15319c5aae6
hex1db22a78c

7971448716 has 144 divisors (see below), whose sum is σ = 26600071680. Its totient is φ = 1948700160.

The previous prime is 7971448697. The next prime is 7971448741. The reversal of 7971448716 is 6178441797.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37456 + ... + 131703.

It is an arithmetic number, because the mean of its divisors is an integer number (184722720).

Almost surely, 27971448716 is an apocalyptic number.

It is an amenable number.

7971448716 is an abundant number, since it is smaller than the sum of its proper divisors (18628622964).

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

7971448716 is a wasteful number, since it uses less digits than its factorization.

7971448716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169204 (or 169199 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 7971448716 is about 89282.9699102802. The cubic root of 7971448716 is about 1997.6178902363.

The spelling of 7971448716 in words is "seven billion, nine hundred seventy-one million, four hundred forty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 7854 11781 15708 23562 47124 169159 338318 507477 676636 1014954 1184113 1522431 1860749 2029908 2368226 2875703 3044862 3552339 3721498 4736452 5582247 5751406 6089724 7104678 7442996 8627109 10657017 11164494 11502812 13025243 14209356 16746741 17254218 20129921 21314034 22328988 25881327 26050486 31632733 33493482 34508436 39075729 40259842 42628068 51762654 52100972 60389763 63265466 66986964 78151458 80519684 94898199 103525308 117227187 120779526 126530932 156302916 181169289 189796398 221429131 234454374 241559052 284694597 362338578 379592796 442858262 468908748 569389194 664287393 724677156 885716524 1138778388 1328574786 1992862179 2657149572 3985724358 7971448716