Search a number
-
+
57850975104 = 2731337331069
BaseRepresentation
bin110101111000001011…
…111101001110000000
312112022201211000210120
4311320023331032000
51421434322200404
642324255100240
74115413113666
oct657013751600
9175281730716
1057850975104
112259740492a
12b266211680
1355bc465a20
142b2b2c4c36
151788c549d9
hexd782fd380

57850975104 has 128 divisors (see below), whose sum is σ = 165936170400. Its totient is φ = 17752006656.

The previous prime is 57850975073. The next prime is 57850975121. The reversal of 57850975104 is 40157905875.

57850975104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1846482 + ... + 1877550.

Almost surely, 257850975104 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 57850975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82968085200).

57850975104 is an abundant number, since it is smaller than the sum of its proper divisors (108085195296).

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

57850975104 is a wasteful number, since it uses less digits than its factorization.

57850975104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31472 (or 31460 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 51.

The spelling of 57850975104 in words is "fifty-seven billion, eight hundred fifty million, nine hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 373 384 416 624 746 832 1119 1248 1492 1664 2238 2496 2984 4476 4849 4992 5968 8952 9698 11936 14547 17904 19396 23872 29094 31069 35808 38792 47744 58188 62138 71616 77584 93207 116376 124276 143232 155168 186414 232752 248552 310336 372828 403897 465504 497104 620672 745656 807794 931008 994208 1211691 1491312 1615588 1862016 1988416 2423382 2982624 3231176 3976832 4846764 5965248 6462352 9693528 11588737 11930496 12924704 19387056 23177474 25849408 34766211 38774112 46354948 51698816 69532422 77548224 92709896 139064844 150653581 155096448 185419792 278129688 301307162 370839584 451960743 556259376 602614324 741679168 903921486 1112518752 1205228648 1483358336 1807842972 2225037504 2410457296 3615685944 4450075008 4820914592 7231371888 9641829184 14462743776 19283658368 28925487552 57850975104