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57076301268 = 22337233282511
BaseRepresentation
bin110101001010000000…
…110011110111010100
312110022202010112002000
4311022000303313110
51413343013120033
642115343115300
74060255361460
oct651200636724
9173282115060
1057076301268
112222a0a1a18
12b08a8a2b30
1354c7b0c63c
142a9646d4a0
151740c31a13
hexd4a033dd4

57076301268 has 96 divisors (see below), whose sum is σ = 176467845120. Its totient is φ = 15598487520.

The previous prime is 57076301267. The next prime is 57076301273. The reversal of 57076301268 is 86210367075.

57076301268 is a `hidden beast` number, since 5 + 7 + 0 + 7 + 630 + 1 + 2 + 6 + 8 = 666.

It is a super-3 number, since 3×570763012683 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57076301263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1623868 + ... + 1658643.

It is an arithmetic number, because the mean of its divisors is an integer number (1838206720).

Almost surely, 257076301268 is an apocalyptic number.

It is an amenable number.

57076301268 is an abundant number, since it is smaller than the sum of its proper divisors (119391543852).

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

57076301268 is a wasteful number, since it uses less digits than its factorization.

57076301268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282554 (or 3282546 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 57076301268 in words is "fifty-seven billion, seventy-six million, three hundred one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 5796 8694 17388 3282511 6565022 9847533 13130044 19695066 22977577 29542599 39390132 45955154 59085198 68932731 75497753 88627797 91910308 118170396 137865462 150995506 177255594 206798193 226493259 275730924 301991012 354511188 413596386 452986518 528484271 620394579 679479777 827192772 905973036 1056968542 1240789158 1358959554 1585452813 2038439331 2113937084 2481578316 2717919108 3170905626 4076878662 4756358439 6341811252 8153757324 9512716878 14269075317 19025433756 28538150634 57076301268