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5108467876864 = 21011264212
BaseRepresentation
bin100101001010110100001…
…1010011100010000000000
3200002100211220120011221221
41022111220122130100000
51132144120234024424
614510444151324424
71035034411334242
oct112255032342000
920070756504857
105108467876864
11169a541a36900
126a607b680714
132b095a032721
141393732a4092
158cd3a0769e4
hex4a56869c400

5108467876864 has 99 divisors (see below), whose sum is σ = 11226450487413. Its totient is φ = 2321669222400.

The previous prime is 5108467876807. The next prime is 5108467876871. The reversal of 5108467876864 is 4686787648015.

The square root of 5108467876864 is 2260192.

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

It can be written as a sum of positive squares in only one way, i.e., 1414691390464 + 3693776486400 = 1189408^2 + 1921920^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5108467876793 and 5108467876802.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 795584374 + ... + 795590794.

Almost surely, 25108467876864 is an apocalyptic number.

5108467876864 is the 2260192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5108467876864

5108467876864 is an abundant number, since it is smaller than the sum of its proper divisors (6117982610549).

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

5108467876864 is an frugal number, since it uses more digits than its factorization.

5108467876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12884 (or 6434 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 70.

The spelling of 5108467876864 in words is "five trillion, one hundred eight billion, four hundred sixty-seven million, eight hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 5632 6421 7744 11264 12842 15488 25684 30976 51368 61952 70631 102736 123904 141262 205472 282524 410944 565048 776941 821888 1130096 1553882 1643776 2260192 3107764 3287552 4520384 6215528 6575104 9040768 12431056 18081536 24862112 36163072 41229241 49724224 72326144 82458482 99448448 164916964 198896896 329833928 397793792 453521651 659667856 795587584 907043302 1319335712 1814086604 2638671424 3628173208 4988738161 5277342848 7256346416 9977476322 10554685696 14512692832 19954952644 21109371392 29025385664 39909905288 42218742784 58050771328 79819810576 116101542656 159639621152 232203085312 319279242304 464406170624 638558484608 1277116969216 2554233938432 5108467876864