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57077386848 = 25321719613577
BaseRepresentation
bin110101001010000100…
…111100111001100000
312110022211011200012200
4311022010330321200
51413343302334343
642115422253200
74060300532436
oct651204747140
9173284150180
1057077386848
112222a773599
12b08b127200
1354c80cc7b1
142a96672d56
151740d984d3
hexd4a13ce60

57077386848 has 144 divisors (see below), whose sum is σ = 180907337520. Its totient is φ = 16964149248.

The previous prime is 57077386841. The next prime is 57077386879. The reversal of 57077386848 is 84868377075.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57077386841) 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, 213765 + ... + 399812.

It is an arithmetic number, because the mean of its divisors is an integer number (1256300955).

Almost surely, 257077386848 is an apocalyptic number.

It is an amenable number.

57077386848 is an abundant number, since it is smaller than the sum of its proper divisors (123829950672).

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

57077386848 is a wasteful number, since it uses less digits than its factorization.

57077386848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613629 (or 613618 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 57077386848 in words is "fifty-seven billion, seventy-seven million, three hundred eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 68 72 76 96 102 114 136 144 152 153 171 204 228 272 288 304 306 323 342 408 456 544 608 612 646 684 816 912 969 1224 1292 1368 1632 1824 1938 2448 2584 2736 2907 3876 4896 5168 5472 5814 7752 10336 11628 15504 23256 31008 46512 93024 613577 1227154 1840731 2454308 3681462 4908616 5522193 7362924 9817232 10430809 11044386 11657963 14725848 19634464 20861618 22088772 23315926 29451696 31292427 34973889 41723236 44177544 46631852 58903392 62584854 69947778 83446472 88355088 93263704 93877281 104921667 125169708 139895556 166892944 176710176 186527408 187754562 198185371 209843334 250339416 279791112 333785888 373054816 375509124 396370742 419686668 500678832 559582224 594556113 751018248 792741484 839373336 1001357664 1119164448 1189112226 1502036496 1585482968 1678746672 1783668339 2378224452 3004072992 3170965936 3357493344 3567336678 4756448904 6341931872 7134673356 9512897808 14269346712 19025795616 28538693424 57077386848