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540073437696 = 2932139015649
BaseRepresentation
bin1111101101111101110…
…00101010101000000000
31220122000122110021022200
413312332320222220000
532322032300001241
61052034544033200
754006344322252
oct7667670525000
91818018407280
10540073437696
11199053415351
1288805602800
133bc0c4a37a0
141c1d5469cd2
15e0adcc44b6
hex7dbee2aa00

540073437696 has 120 divisors (see below), whose sum is σ = 1678587810900. Its totient is φ = 166176423936.

The previous prime is 540073437667. The next prime is 540073437713. The reversal of 540073437696 is 696734370045.

It is a happy number.

540073437696 is a `hidden beast` number, since 54 + 0 + 0 + 73 + 437 + 6 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 532666425600 + 7407012096 = 729840^2 + 86064^2 .

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, 4447921 + ... + 4567728.

Almost surely, 2540073437696 is an apocalyptic number.

It is an amenable number.

540073437696 is an abundant number, since it is smaller than the sum of its proper divisors (1138514373204).

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

540073437696 is a wasteful number, since it uses less digits than its factorization.

540073437696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9015686 (or 9015667 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 540073437696 in words is "five hundred forty billion, seventy-three million, four hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 9015649 18031298 27046947 36062596 54093894 72125192 81140841 108187788 117203437 144250384 162281682 216375576 234406874 288500768 324563364 351610311 432751152 468813748 577001536 649126728 703220622 865502304 937627496 1054830933 1154003072 1298253456 1406441244 1731004608 1875254992 2109661866 2308006144 2596506912 2812882488 3462009216 3750509984 4219323732 4616012288 5193013824 5625764976 6924018432 7501019968 8438647464 10386027648 11251529952 13848036864 15002039936 16877294928 20772055296 22503059904 30004079872 33754589856 41544110592 45006119808 60008159744 67509179712 90012239616 135018359424 180024479232 270036718848 540073437696