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57672803349 = 3271272171963
BaseRepresentation
bin110101101101100100…
…010010010000010101
312111212022112222002200
4311231210102100111
51421103214201344
642254452155113
74111120511550
oct655544222025
9174768488080
1057672803349
1122505880847
12b216608a99
135591582055
142b11785697
1517782ad069
hexd6d912415

57672803349 has 24 divisors (see below), whose sum is σ = 95214704832. Its totient is φ = 32952839040.

The previous prime is 57672803329. The next prime is 57672803371. The reversal of 57672803349 is 94330827675.

57672803349 is a `hidden beast` number, since 576 + 7 + 28 + 0 + 3 + 3 + 49 = 666.

It is a de Polignac number, because none of the positive numbers 2k-57672803349 is a prime.

It is a super-2 number, since 2×576728033492 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57672803295 and 57672803304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57672803329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765442 + ... + 837404.

It is an arithmetic number, because the mean of its divisors is an integer number (3967279368).

Almost surely, 257672803349 is an apocalyptic number.

It is an amenable number.

57672803349 is a deficient number, since it is larger than the sum of its proper divisors (37541901483).

57672803349 is a wasteful number, since it uses less digits than its factorization.

57672803349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84697 (or 84694 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 57672803349 in words is "fifty-seven billion, six hundred seventy-two million, eight hundred three thousand, three hundred forty-nine".

Divisors: 1 3 7 9 21 63 12721 38163 71963 89047 114489 215889 267141 503741 647667 801423 1511223 4533669 915441323 2746323969 6408089261 8238971907 19224267783 57672803349