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7640831616 = 273113834723
BaseRepresentation
bin1110001110110110…
…11101011010000000
3201201111120110111120
413013123131122000
5111122023102431
63302105312240
7360226666005
oct70733353200
921644513446
107640831616
113271060980
121592a95680
13949cc9a52
14526ad18ac
152eac00196
hex1c76dd680

7640831616 has 128 divisors (see below), whose sum is σ = 22203555840. Its totient is φ = 2308869120.

The previous prime is 7640831599. The next prime is 7640831623. The reversal of 7640831616 is 6161380467.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1615431 + ... + 1620153.

It is an arithmetic number, because the mean of its divisors is an integer number (173465280).

Almost surely, 27640831616 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 7640831616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11101777920).

7640831616 is an abundant number, since it is smaller than the sum of its proper divisors (14562724224).

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

7640831616 is a wasteful number, since it uses less digits than its factorization.

7640831616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 7640831616 is about 87411.8505467079. The cubic root of 7640831616 is about 1969.6098599554.

The spelling of 7640831616 in words is "seven billion, six hundred forty million, eight hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 383 384 528 704 766 1056 1149 1408 1532 2112 2298 3064 4213 4224 4596 4723 6128 8426 9192 9446 12256 12639 14169 16852 18384 18892 24512 25278 28338 33704 36768 37784 49024 50556 51953 56676 67408 73536 75568 101112 103906 113352 134816 147072 151136 155859 202224 207812 226704 269632 302272 311718 404448 415624 453408 539264 604544 623436 808896 831248 906816 1246872 1617792 1662496 1808909 1813632 2493744 3324992 3617818 4987488 5426727 6649984 7235636 9974976 10853454 14471272 19897999 19949952 21706908 28942544 39795998 43413816 57885088 59693997 79591996 86827632 115770176 119387994 159183992 173655264 231540352 238775988 318367984 347310528 477551976 636735968 694621056 955103952 1273471936 1910207904 2546943872 3820415808 7640831616