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5002177622688 = 253257013046601
BaseRepresentation
bin100100011001010100100…
…0001010011001010100000
3122201012111100200211011100
41020302221001103022200
51123423424432411223
614345545122314400
71024252424151261
oct110625101231240
918635440624140
105002177622688
111659458952734
126895571b8a00
132a391b28c3bc
1413416ca7a968
158a1b89bd043
hex48ca90532a0

5002177622688 has 72 divisors (see below), whose sum is σ = 14227442450676. Its totient is φ = 1667099520000.

The previous prime is 5002177622627. The next prime is 5002177622699. The reversal of 5002177622688 is 8862267712005.

5002177622688 is a `hidden beast` number, since 5 + 0 + 0 + 2 + 1 + 7 + 7 + 622 + 6 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4400479543824 + 601698078864 = 2097732^2 + 775692^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118588 + ... + 3165188.

Almost surely, 25002177622688 is an apocalyptic number.

It is an amenable number.

5002177622688 is an abundant number, since it is smaller than the sum of its proper divisors (9225264827988).

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

5002177622688 is a wasteful number, since it uses less digits than its factorization.

5002177622688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052318 (or 3052307 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 5002177622688 in words is "five trillion, two billion, one hundred seventy-seven million, six hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5701 11402 17103 22804 34206 45608 51309 68412 91216 102618 136824 182432 205236 273648 410472 547296 820944 1641888 3046601 6093202 9139803 12186404 18279606 24372808 27419409 36559212 48745616 54838818 73118424 97491232 109677636 146236848 219355272 292473696 438710544 877421088 17368672301 34737344602 52106016903 69474689204 104212033806 138949378408 156318050709 208424067612 277898756816 312636101418 416848135224 555797513632 625272202836 833696270448 1250544405672 1667392540896 2501088811344 5002177622688