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57433520640 = 293559312611
BaseRepresentation
bin110101011111010011…
…011111101000000000
312111020122022010221010
4311133103133220000
51420110440130030
642215023400520
74102153604406
oct653723375000
9174218263833
1057433520640
11223a27a8141
12b16a453140
135553b22852
142acba99476
1517622946b0
hexd5f4dfa00

57433520640 has 160 divisors (see below), whose sum is σ = 183931995456. Its totient is φ = 15288565760.

The previous prime is 57433520633. The next prime is 57433520687. The reversal of 57433520640 is 4602533475.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4547935 + ... + 4560545.

Almost surely, 257433520640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57433520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91965997728).

57433520640 is an abundant number, since it is smaller than the sum of its proper divisors (126498474816).

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

57433520640 is a wasteful number, since it uses less digits than its factorization.

57433520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13230 (or 13214 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

The spelling of 57433520640 in words is "fifty-seven billion, four hundred thirty-three million, five hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 593 640 768 960 1186 1280 1536 1779 1920 2372 2560 2965 3558 3840 4744 5930 7116 7680 8895 9488 11860 12611 14232 17790 18976 23720 25222 28464 35580 37833 37952 47440 50444 56928 63055 71160 75666 75904 94880 100888 113856 126110 142320 151332 151808 189165 189760 201776 227712 252220 284640 302664 303616 378330 379520 403552 455424 504440 569280 605328 756660 759040 807104 910848 1008880 1138560 1210656 1513320 1518080 1614208 2017760 2277120 2421312 3026640 3228416 4035520 4554240 4842624 6053280 6456832 7478323 8071040 9685248 12106560 14956646 16142080 19370496 22434969 24213120 29913292 32284160 37391615 44869938 48426240 59826584 74783230 89739876 96852480 112174845 119653168 149566460 179479752 224349690 239306336 299132920 358959504 448699380 478612672 598265840 717919008 897398760 957225344 1196531680 1435838016 1794797520 1914450688 2393063360 2871676032 3589595040 3828901376 4786126720 5743352064 7179190080 9572253440 11486704128 14358380160 19144506880 28716760320 57433520640