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7992193680 = 2432517652957
BaseRepresentation
bin1110111000101111…
…10011001010010000
3202121222201111122100
413130113303022100
5112332000144210
63401020240400
7402024345132
oct73427631220
922558644570
107992193680
113431426449
1216706a0100
139a4a3bbb3
1455b635052
1531b9a75c0
hex1dc5f3290

7992193680 has 120 divisors (see below), whose sum is σ = 28419343992. Its totient is φ = 2005880832.

The previous prime is 7992193679. The next prime is 7992193717. The reversal of 7992193680 is 863912997.

It can be written as a sum of positive squares in 4 ways, for example, as 295289856 + 7696903824 = 17184^2 + 87732^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 314239 + ... + 338718.

Almost surely, 27992193680 is an apocalyptic number.

It is an amenable number.

7992193680 is an abundant number, since it is smaller than the sum of its proper divisors (20427150312).

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

7992193680 is a wasteful number, since it uses less digits than its factorization.

7992193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652993 (or 652984 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 7992193680 is about 89399.0697938183. The cubic root of 7992193680 is about 1999.3492616261.

The spelling of 7992193680 in words is "seven billion, nine hundred ninety-two million, one hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 652957 1305914 1958871 2611828 3264785 3917742 5223656 5876613 6529570 7835484 9794355 10447312 11100269 11753226 13059140 15670968 19588710 22200538 23506452 26118280 29383065 31341936 33300807 39177420 44401076 47012904 52236560 55501345 58766130 66601614 78354840 88802152 94025808 99902421 111002690 117532260 133203228 156709680 166504035 177604304 199804842 222005380 235064520 266406456 333008070 399609684 444010760 470129040 499512105 532812912 666016140 799219368 888021520 999024210 1332032280 1598438736 1998048420 2664064560 3996096840 7992193680