Search a number
-
+
57359398692 = 22317239114229
BaseRepresentation
bin110101011010111000…
…101111011100100100
312111001110211100201210
4311122320233130210
51414433001224232
642203414551420
74100263562421
oct653270573444
9174043740653
1057359398692
1122364981232
12b149668570
13554166cacb
142ac1cc2d48
15175aa025cc
hexd5ae2f724

57359398692 has 72 divisors (see below), whose sum is σ = 142244544960. Its totient is φ = 17986250240.

The previous prime is 57359398687. The next prime is 57359398697. The reversal of 57359398692 is 29689395375.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57359398687) and next prime (57359398697).

It is a super-2 number, since 2×573593986922 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57359398697) 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, 13561234 + ... + 13565462.

It is an arithmetic number, because the mean of its divisors is an integer number (1975618680).

Almost surely, 257359398692 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 57359398692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71122272480).

57359398692 is an abundant number, since it is smaller than the sum of its proper divisors (84885146268).

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

57359398692 is a wasteful number, since it uses less digits than its factorization.

57359398692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181 (or 8162 counting only the distinct ones).

The product of its digits is 110224800, while the sum is 66.

The spelling of 57359398692 in words is "fifty-seven billion, three hundred fifty-nine million, three hundred ninety-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1156 1734 3468 3911 4229 7822 8458 11733 12687 15644 16916 23466 25374 46932 50748 66487 71893 132974 143786 199461 215679 265948 287572 398922 431358 797844 862716 1130279 1222181 2260558 2444362 3390837 3666543 4521116 4888724 6781674 7333086 13563348 14666172 16539619 33079238 49618857 66158476 99237714 198475428 281173523 562347046 843520569 1124694092 1687041138 3374082276 4779949891 9559899782 14339849673 19119799564 28679699346 57359398692