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64082897316 = 223231213612
BaseRepresentation
bin111011101011101000…
…110110100110100100
320010102001021110221100
4323223220312212210
52022220210203231
645234514520100
74426014432264
oct735350664644
9203361243840
1064082897316
11251a5141269
1210505296030
1360735b4969
14315cc257a4
151a00e001e6
hexeeba369a4

64082897316 has 81 divisors (see below), whose sum is σ = 167504356929. Its totient is φ = 20656713600.

The previous prime is 64082897309. The next prime is 64082897339. The reversal of 64082897316 is 61379828046.

The square root of 64082897316 is 253146.

It is a perfect power (a square), and thus also a powerful number.

64082897316 is a `hidden beast` number, since 6 + 40 + 8 + 289 + 7 + 316 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10888087716 + 53194809600 = 104346^2 + 230640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47084476 + ... + 47085836.

Almost surely, 264082897316 is an apocalyptic number.

64082897316 is the 253146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64082897316

64082897316 is an abundant number, since it is smaller than the sum of its proper divisors (103421459613).

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

64082897316 is a wasteful number, since it uses less digits than its factorization.

64082897316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 64082897316 in words is "sixty-four billion, eighty-two million, eight hundred ninety-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1361 1922 2722 2883 3844 4083 5444 5766 8166 8649 11532 12249 16332 17298 24498 34596 42191 48996 84382 126573 168764 253146 379719 506292 759438 1307921 1518876 1852321 2615842 3704642 3923763 5231684 5556963 7409284 7847526 11113926 11771289 15695052 16670889 22227852 23542578 33341778 47085156 57421951 66683556 114843902 172265853 229687804 344531706 516797559 689063412 1033595118 1780080481 2067190236 3560160962 5340241443 7120321924 10680482886 16020724329 21360965772 32041448658 64082897316