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57491284368 = 24371941219647
BaseRepresentation
bin110101100010101111…
…110110000110010000
312111101122222211212110
4311202233312012100
51420220232044433
642224445425320
74103454565650
oct654257660620
9174348884773
1057491284368
1122422370961
12b18586b240
135562a9897b
142ad5614360
1517673a4963
hexd62bf6190

57491284368 has 160 divisors (see below), whose sum is σ = 183028285440. Its totient is φ = 15181931520.

The previous prime is 57491284309. The next prime is 57491284421. The reversal of 57491284368 is 86348219475.

It is a happy number.

57491284368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151921 + ... + 371567.

It is an arithmetic number, because the mean of its divisors is an integer number (1143926784).

Almost surely, 257491284368 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 57491284368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91514142720).

57491284368 is an abundant number, since it is smaller than the sum of its proper divisors (125537001072).

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

57491284368 is a wasteful number, since it uses less digits than its factorization.

57491284368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219725 (or 219719 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 57491284368 in words is "fifty-seven billion, four hundred ninety-one million, two hundred eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 41 42 48 56 57 76 82 84 112 114 123 133 152 164 168 228 246 266 287 304 328 336 399 456 492 532 574 656 779 798 861 912 984 1064 1148 1558 1596 1722 1968 2128 2296 2337 3116 3192 3444 4592 4674 5453 6232 6384 6888 9348 10906 12464 13776 16359 18696 21812 32718 37392 43624 65436 87248 130872 219647 261744 439294 658941 878588 1317882 1537529 1757176 2635764 3075058 3514352 4173293 4612587 5271528 6150116 8346586 9005527 9225174 10543056 12300232 12519879 16693172 18011054 18450348 24600464 25039758 27016581 29213051 33386344 36022108 36900696 50079516 54033162 58426102 63038689 66772688 72044216 73801392 87639153 100159032 108066324 116852204 126077378 144088432 171105013 175278306 189116067 200318064 216132648 233704408 252154756 342210026 350556612 378232134 432265296 467408816 504309512 513315039 684420052 701113224 756464268 1008619024 1026630078 1197735091 1368840104 1402226448 1512928536 2053260156 2395470182 2737680208 3025857072 3593205273 4106520312 4790940364 7186410546 8213040624 9581880728 14372821092 19163761456 28745642184 57491284368