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5357008896 = 21131794871
BaseRepresentation
bin1001111110100110…
…10111100000000000
3111211100011020200220
410333103113200000
541432343241041
62243323143040
7246515552511
oct47723274000
914740136626
105357008896
1122a998a088
121056074a80
13674aca065
1438b674a08
15215476d66
hex13f4d7800

5357008896 has 96 divisors (see below), whose sum is σ = 14364604800. Its totient is φ = 1775329280.

The previous prime is 5357008889. The next prime is 5357008901. The reversal of 5357008896 is 6988007535.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1097341 + ... + 1102211.

It is an arithmetic number, because the mean of its divisors is an integer number (149631300).

Almost surely, 25357008896 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 5357008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182302400).

5357008896 is an abundant number, since it is smaller than the sum of its proper divisors (9007595904).

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

5357008896 is a wasteful number, since it uses less digits than its factorization.

5357008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 5357008896 is about 73191.5903365954. The cubic root of 5357008896 is about 1749.7424269618.

The spelling of 5357008896 in words is "five billion, three hundred fifty-seven million, eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 512 537 716 768 1024 1074 1432 1536 2048 2148 2864 3072 4296 4871 5728 6144 8592 9742 11456 14613 17184 19484 22912 29226 34368 38968 45824 58452 68736 77936 91648 116904 137472 155872 183296 233808 274944 311744 366592 467616 549888 623488 871909 935232 1099776 1246976 1743818 1870464 2493952 2615727 3487636 3740928 4987904 5231454 6975272 7481856 9975808 10462908 13950544 14963712 20925816 27901088 29927424 41851632 55802176 83703264 111604352 167406528 223208704 334813056 446417408 669626112 892834816 1339252224 1785669632 2678504448 5357008896