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540320917392 = 243217972275457
BaseRepresentation
bin1111101110011011010…
…00101110011110010000
31220122122220010112122100
413313031220232132100
532323034123324032
61052115304240400
754015441006354
oct7671550563620
91818586115570
10540320917392
11199170087523
1288874470100
133bc4b842c89
141c21a28b464
15e0c58ab97c
hex7dcda2e790

540320917392 has 120 divisors (see below), whose sum is σ = 1617604888536. Its totient is φ = 167764819968.

The previous prime is 540320917387. The next prime is 540320917427. The reversal of 540320917392 is 293719023045.

540320917392 is a `hidden beast` number, since 5 + 40 + 3 + 209 + 17 + 392 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10313621136 + 530007296256 = 101556^2 + 728016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900273 + ... + 1375184.

Almost surely, 2540320917392 is an apocalyptic number.

It is an amenable number.

540320917392 is an abundant number, since it is smaller than the sum of its proper divisors (1077283971144).

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

540320917392 is a wasteful number, since it uses less digits than its factorization.

540320917392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275585 (or 2275576 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 540320917392 in words is "five hundred forty billion, three hundred twenty million, nine hundred seventeen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 97 102 136 144 153 194 204 272 291 306 388 408 582 612 776 816 873 1164 1224 1552 1649 1746 2328 2448 3298 3492 4656 4947 6596 6984 9894 13192 13968 14841 19788 26384 29682 39576 59364 79152 118728 237456 2275457 4550914 6826371 9101828 13652742 18203656 20479113 27305484 36407312 38682769 40958226 54610968 77365538 81916452 109221936 116048307 154731076 163832904 220719329 232096614 309462152 327665808 348144921 441438658 464193228 618924304 662157987 696289842 882877316 928386456 1324315974 1392579684 1765754632 1856772912 1986473961 2648631948 2785159368 3531509264 3752228593 3972947922 5297263896 5570318736 7504457186 7945895844 10594527792 11256685779 15008914372 15891791688 22513371558 30017828744 31783583376 33770057337 45026743116 60035657488 67540114674 90053486232 135080229348 180106972464 270160458696 540320917392