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57147435760 = 24523113274853
BaseRepresentation
bin110101001110010000…
…001010101011110000
312110111200222112020211
4311032100022223300
51414014220421020
642130403513504
74062111121612
oct651620125360
9173450875224
1057147435760
1122266268358
12b0aa688894
13550978765c
142aa1aa8db2
1517470d385a
hexd4e40aaf0

57147435760 has 80 divisors (see below), whose sum is σ = 139872101184. Its totient is φ = 21671530496.

The previous prime is 57147435733. The next prime is 57147435769. The reversal of 57147435760 is 6753474175.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57147435769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70494 + ... + 345346.

Almost surely, 257147435760 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 57147435760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69936050592).

57147435760 is an abundant number, since it is smaller than the sum of its proper divisors (82724665424).

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

57147435760 is a wasteful number, since it uses less digits than its factorization.

57147435760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275002 (or 274996 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 49.

The spelling of 57147435760 in words is "fifty-seven billion, one hundred forty-seven million, four hundred thirty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 113 115 184 226 230 368 452 460 565 904 920 1130 1808 1840 2260 2599 4520 5198 9040 10396 12995 20792 25990 41584 51980 103960 207920 274853 549706 1099412 1374265 2198824 2748530 4397648 5497060 6321619 10994120 12643238 21988240 25286476 31058389 31608095 50572952 62116778 63216190 101145904 124233556 126432380 155291945 248467112 252864760 310583890 496934224 505729520 621167780 714342947 1242335560 1428685894 2484671120 2857371788 3571714735 5714743576 7143429470 11429487152 14286858940 28573717880 57147435760