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7680443872 = 2517191275851
BaseRepresentation
bin1110010011100101…
…00100010111100000
3201211021002222022011
413021302210113200
5111212143200442
63310042322304
7361220460433
oct71162442740
921737088264
107680443872
113291457182
1215a41b9394
13955288c5a
1452c08381a
152ee427117
hex1c9ca45e0

7680443872 has 96 divisors (see below), whose sum is σ = 16988590080. Its totient is φ = 3396556800.

The previous prime is 7680443863. The next prime is 7680443879. The reversal of 7680443872 is 2783440867.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680443879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309747 + ... + 1315597.

It is an arithmetic number, because the mean of its divisors is an integer number (176964480).

Almost surely, 27680443872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7680443872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494295040).

7680443872 is an abundant number, since it is smaller than the sum of its proper divisors (9308146208).

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

7680443872 is a wasteful number, since it uses less digits than its factorization.

7680443872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

The square root of 7680443872 is about 87638.1416507676. The cubic root of 7680443872 is about 1973.0076685407.

The spelling of 7680443872 in words is "seven billion, six hundred eighty million, four hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 127 136 152 254 272 304 323 508 544 608 646 1016 1292 2032 2159 2413 2584 4064 4318 4826 5168 5851 8636 9652 10336 11702 17272 19304 23404 34544 38608 41021 46808 69088 77216 82042 93616 99467 111169 164084 187232 198934 222338 328168 397868 444676 656336 743077 795736 889352 1312672 1486154 1591472 1778704 1889873 2972308 3182944 3557408 3779746 5944616 7559492 11889232 12632309 14118463 15118984 23778464 25264618 28236926 30237968 50529236 56473852 60475936 101058472 112947704 202116944 225895408 240013871 404233888 451790816 480027742 960055484 1920110968 3840221936 7680443872