Search a number
-
+
57881509416 = 23381102757
BaseRepresentation
bin110101111010000000…
…011011111000101000
312112101212021100000000
4311322000123320220
51422020131300131
642331305343000
74116233466213
oct657200337050
9175355240000
1057881509416
112260266a7a5
12b274497a60
1355c5896c73
142b3139277a
15178b786ce6
hexd7a01be28

57881509416 has 72 divisors (see below), whose sum is σ = 162783622170. Its totient is φ = 19293818976.

The previous prime is 57881509381. The next prime is 57881509423. The reversal of 57881509416 is 61490518875.

It is a happy number.

57881509416 is a `hidden beast` number, since 5 + 78 + 8 + 150 + 9 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57873924900 + 7584516 = 240570^2 + 2754^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×578815094162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 498891 + ... + 603866.

Almost surely, 257881509416 is an apocalyptic number.

It is an amenable number.

57881509416 is an abundant number, since it is smaller than the sum of its proper divisors (104902112754).

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

57881509416 is an equidigital number, since it uses as much as digits as its factorization.

57881509416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102787 (or 1102762 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 57881509416 in words is "fifty-seven billion, eight hundred eighty-one million, five hundred nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 26244 52488 1102757 2205514 3308271 4411028 6616542 8822056 9924813 13233084 19849626 26466168 29774439 39699252 59548878 79398504 89323317 119097756 178646634 238195512 267969951 357293268 535939902 714586536 803909853 1071879804 1607819706 2143759608 2411729559 3215639412 4823459118 6431278824 7235188677 9646918236 14470377354 19293836472 28940754708 57881509416