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64351320516 = 223271377012659
BaseRepresentation
bin111011111011101000…
…110011100111000100
320011002202100210100100
4323323220303213010
52023242414224031
645321304044100
74435454125230
oct737350634704
9204082323310
1064351320516
112532270861a
121057b163630
1360b70a7b62
1431867395c0
151a19772de6
hexefba339c4

64351320516 has 144 divisors (see below), whose sum is σ = 187598436480. Its totient is φ = 18218995200.

The previous prime is 64351320511. The next prime is 64351320529. The reversal of 64351320516 is 61502315346.

64351320516 is a `hidden beast` number, since 6 + 4 + 3 + 5 + 132 + 0 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64351320511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24199995 + ... + 24202653.

It is an arithmetic number, because the mean of its divisors is an integer number (1302766920).

Almost surely, 264351320516 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 64351320516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93799218240).

64351320516 is an abundant number, since it is smaller than the sum of its proper divisors (123247115964).

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

64351320516 is a wasteful number, since it uses less digits than its factorization.

64351320516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 64351320516 in words is "sixty-four billion, three hundred fifty-one million, three hundred twenty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 701 822 959 1233 1402 1644 1918 2103 2466 2659 2804 2877 3836 4206 4907 4932 5318 5754 6309 7977 8412 8631 9814 10636 11508 12618 14721 15954 17262 18613 19628 23931 25236 29442 31908 34524 37226 44163 47862 55839 58884 74452 88326 95724 96037 111678 167517 176652 192074 223356 288111 335034 364283 384148 576222 670068 672259 728566 864333 1092849 1152444 1344518 1457132 1728666 1863959 2016777 2185698 2549981 2689036 3278547 3457332 3727918 4033554 4371396 5099962 5591877 6050331 6557094 7455836 7649943 8067108 10199924 11183754 12100662 13047713 13114188 15299886 16775631 22367508 22949829 24201324 26095426 30599772 33551262 39143139 45899658 52190852 67102524 78286278 91799316 117429417 156572556 234858834 255362383 469717668 510724766 766087149 1021449532 1532174298 1787536681 2298261447 3064348596 3575073362 4596522894 5362610043 7150146724 9193045788 10725220086 16087830129 21450440172 32175660258 64351320516