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57076300672 = 274741922643
BaseRepresentation
bin110101001010000000…
…110011101110000000
312110022202010111020221
4311022000303232000
51413343013110142
642115343112424
74060255356646
oct651200635600
9173282114227
1057076300672
112222a0a1526
12b08a8a2714
1354c7b0c2a1
142a9646d196
151740c31767
hexd4a033b80

57076300672 has 64 divisors (see below), whose sum is σ = 116408275200. Its totient is φ = 27863064064.

The previous prime is 57076300669. The next prime is 57076300681. The reversal of 57076300672 is 27600367075.

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

It is a congruent number.

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, 2509383 + ... + 2532025.

It is an arithmetic number, because the mean of its divisors is an integer number (1818879300).

Almost surely, 257076300672 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 57076300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58204137600).

57076300672 is an abundant number, since it is smaller than the sum of its proper divisors (59331974528).

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

57076300672 is a wasteful number, since it uses less digits than its factorization.

57076300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23123 (or 23111 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 43.

The spelling of 57076300672 in words is "fifty-seven billion, seventy-six million, three hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 419 752 838 1504 1676 3008 3352 6016 6704 13408 19693 22643 26816 39386 45286 53632 78772 90572 157544 181144 315088 362288 630176 724576 1064221 1260352 1449152 2128442 2520704 2898304 4256884 8513768 9487417 17027536 18974834 34055072 37949668 68110144 75899336 136220288 151798672 303597344 445908599 607194688 891817198 1214389376 1783634396 3567268792 7134537584 14269075168 28538150336 57076300672