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8680395936 = 253197876047
BaseRepresentation
bin10000001010110010…
…00101010010100000
3211101221200210122210
420011121011102200
5120234140132221
63553203002120
7425052101532
oct100531052240
924357623583
108680395936
113754947a43
121823069340
13a844aa374
145c4bbb852
1535c0e9276
hex2056454a0

8680395936 has 96 divisors (see below), whose sum is σ = 24019752960. Its totient is φ = 2737241856.

The previous prime is 8680395931. The next prime is 8680395961. The reversal of 8680395936 is 6395930868.

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

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (8680395931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1432465 + ... + 1438511.

It is an arithmetic number, because the mean of its divisors is an integer number (250205760).

Almost surely, 28680395936 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 8680395936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12009876480).

8680395936 is an abundant number, since it is smaller than the sum of its proper divisors (15339357024).

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

8680395936 is a wasteful number, since it uses less digits than its factorization.

8680395936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The square root of 8680395936 is about 93168.6424501291. The cubic root of 8680395936 is about 2055.1641315499.

The spelling of 8680395936 in words is "eight billion, six hundred eighty million, three hundred ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 787 912 1574 1824 2361 3148 4722 6047 6296 9444 12094 12592 14953 18141 18888 24188 25184 29906 36282 37776 44859 48376 59812 72564 75552 89718 96752 114893 119624 145128 179436 193504 229786 239248 290256 344679 358872 459572 478496 580512 689358 717744 919144 1378716 1435488 1838288 2757432 3676576 4758989 5514864 9517978 11029728 14276967 19035956 28553934 38071912 57107868 76143824 90420791 114215736 152287648 180841582 228431472 271262373 361683164 456862944 542524746 723366328 1085049492 1446732656 2170098984 2893465312 4340197968 8680395936