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57686245708 = 227132971091153
BaseRepresentation
bin110101101110010111…
…100100000101001100
312111220020211220112211
4311232113210011030
51421120134330313
642300052240204
74111342666240
oct655627440514
9174806756484
1057686245708
1122512422233
12b21b010064
1355942aa700
142b13484420
151779565e3d
hexd6e5e414c

57686245708 has 144 divisors (see below), whose sum is σ = 127486349760. Its totient is φ = 22359048192.

The previous prime is 57686245703. The next prime is 57686245709. The reversal of 57686245708 is 80754268675.

It is a happy number.

57686245708 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×576862457085 (a number of 55 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (57686245703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50030860 + ... + 50032012.

Almost surely, 257686245708 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 57686245708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63743174880).

57686245708 is an abundant number, since it is smaller than the sum of its proper divisors (69800104052).

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

57686245708 is a wasteful number, since it uses less digits than its factorization.

57686245708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 58.

The spelling of 57686245708 in words is "fifty-seven billion, six hundred eighty-six million, two hundred forty-five thousand, seven hundred eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 97 109 169 182 194 218 338 364 388 436 676 679 763 1153 1183 1261 1358 1417 1526 2306 2366 2522 2716 2834 3052 4612 4732 5044 5668 8071 8827 9919 10573 14989 16142 16393 17654 18421 19838 21146 29978 32284 32786 35308 36842 39676 42292 59956 65572 73684 74011 104923 111841 114751 125677 128947 137449 148022 194857 209846 223682 229502 251354 257894 274898 296044 389714 419692 447364 459004 502708 515788 549796 779428 782887 879739 962143 1363999 1453933 1565774 1633801 1759478 1786837 1924286 2727998 2907866 3131548 3267602 3518956 3573674 3848572 5455996 5815732 6535204 7147348 10177531 11436607 12190669 12507859 18901129 20355062 21239413 22873214 24381338 25015718 37802258 40710124 42478826 45746428 48762676 50031436 75604516 84957652 85334683 132307903 148675891 158478697 170669366 264615806 297351782 316957394 341338732 529231612 594703564 633914788 1109350879 2060223061 2218701758 4120446122 4437403516 8240892244 14421561427 28843122854 57686245708