Search a number
-
+
57535865388 = 223261109323971
BaseRepresentation
bin110101100101011001…
…111010001000101100
312111111202212210112100
4311211121322020230
51420313140143023
642233121135100
74104535533531
oct654531721054
9174452783470
1057535865388
1122445550281
12b19878a490
13556c0a7681
142adb4dad88
15176b25dc43
hexd6567a22c

57535865388 has 72 divisors (see below), whose sum is σ = 147963526256. Its totient is φ = 18846172800.

The previous prime is 57535865377. The next prime is 57535865389. The reversal of 57535865388 is 88356853575.

57535865388 is a `hidden beast` number, since 5 + 7 + 535 + 8 + 65 + 38 + 8 = 666.

57535865388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57535865389) 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, 2388243 + ... + 2412213.

Almost surely, 257535865388 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 57535865388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73981763128).

57535865388 is an abundant number, since it is smaller than the sum of its proper divisors (90427660868).

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

57535865388 is a wasteful number, since it uses less digits than its factorization.

57535865388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25135 (or 25130 counting only the distinct ones).

The product of its digits is 120960000, while the sum is 63.

The spelling of 57535865388 in words is "fifty-seven billion, five hundred thirty-five million, eight hundred sixty-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1093 1098 2186 2196 3279 4372 6558 9837 13116 19674 23971 39348 47942 66673 71913 95884 133346 143826 200019 215739 266692 287652 400038 431478 600057 800076 862956 1200114 1462231 2400228 2924462 4386693 5848924 8773386 13160079 17546772 26200303 26320158 52400606 52640316 78600909 104801212 157201818 235802727 314403636 471605454 943210908 1598218483 3196436966 4794655449 6392873932 9589310898 14383966347 19178621796 28767932694 57535865388