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57841574016 = 273773194863
BaseRepresentation
bin110101110111101000…
…000110000010000000
312112022002010101221010
4311313220012002000
51421424420332031
642323321400520
74115240160402
oct656750060200
9175262111833
1057841574016
1122592073736
12b263039140
1355ba523955
142b29d58b72
151787ee9246
hexd77a06080

57841574016 has 64 divisors (see below), whose sum is σ = 153841230720. Its totient is φ = 19255483392.

The previous prime is 57841574003. The next prime is 57841574041. The reversal of 57841574016 is 61047514875.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199401 + ... + 394263.

It is an arithmetic number, because the mean of its divisors is an integer number (2403769230).

Almost surely, 257841574016 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 57841574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76920615360).

57841574016 is an abundant number, since it is smaller than the sum of its proper divisors (95999656704).

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

57841574016 is a wasteful number, since it uses less digits than its factorization.

57841574016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195653 (or 195641 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 57841574016 in words is "fifty-seven billion, eight hundred forty-one million, five hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 773 1546 2319 3092 4638 6184 9276 12368 18552 24736 37104 49472 74208 98944 148416 194863 296832 389726 584589 779452 1169178 1558904 2338356 3117808 4676712 6235616 9353424 12471232 18706848 24942464 37413696 74827392 150629099 301258198 451887297 602516396 903774594 1205032792 1807549188 2410065584 3615098376 4820131168 7230196752 9640262336 14460393504 19280524672 28920787008 57841574016