Search a number
-
+
53112317944 = 2373167115903
BaseRepresentation
bin110001011101101111…
…011010011111111000
312002002111012022012211
4301131233122133320
51332233223133234
640222141144504
73560113153000
oct613557323770
9162074168184
1053112317944
1120585578644
12a36325b134
1350157bb68a
1427dbc13000
1515acc23164
hexc5dbda7f8

53112317944 has 64 divisors (see below), whose sum is σ = 116831232000. Its totient is φ = 22625924832.

The previous prime is 53112317941. The next prime is 53112317953. The reversal of 53112317944 is 44971321135.

It is a junction number, because it is equal to n+sod(n) for n = 53112317897 and 53112317906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53112317941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400297 + ... + 516199.

It is an arithmetic number, because the mean of its divisors is an integer number (1825488000).

Almost surely, 253112317944 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 53112317944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58415616000).

53112317944 is an abundant number, since it is smaller than the sum of its proper divisors (63718914056).

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

53112317944 is a wasteful number, since it uses less digits than its factorization.

53112317944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116097 (or 116079 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The spelling of 53112317944 in words is "fifty-three billion, one hundred twelve million, three hundred seventeen thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 167 196 334 343 392 668 686 1169 1336 1372 2338 2744 4676 8183 9352 16366 32732 57281 65464 114562 115903 229124 231806 458248 463612 811321 927224 1622642 3245284 5679247 6490568 11358494 19355801 22716988 38711602 39754729 45433976 77423204 79509458 135490607 154846408 159018916 270981214 318037832 541962428 948434249 1083924856 1896868498 3793736996 6639039743 7587473992 13278079486 26556158972 53112317944