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5350337316 = 22327321672
BaseRepresentation
bin1001111101110011…
…11010101100100100
3111210212121022000100
410332321322230210
541424141243231
62242524144100
7246405055032
oct47671725444
914725538010
105350337316
1122a6142685
121053998030
1367360248c
1438a819552
15214aaa1e6
hex13ee7ab24

5350337316 has 81 divisors (see below), whose sum is σ = 13794869361. Its totient is φ = 1748481984.

The previous prime is 5350337263. The next prime is 5350337323. The reversal of 5350337316 is 6137330535.

The square root of 5350337316 is 73146.

It is a perfect power (a square), and thus also a powerful number.

5350337316 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 337 + 316 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3037112100 + 2313225216 = 55110^2 + 48096^2 .

It is a super-2 number, since 2×53503373162 = 57252218789964167712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32037865 + ... + 32038031.

Almost surely, 25350337316 is an apocalyptic number.

5350337316 is the 73146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5350337316

5350337316 is an abundant number, since it is smaller than the sum of its proper divisors (8444532045).

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

5350337316 is a wasteful number, since it uses less digits than its factorization.

5350337316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 36.

The cubic root of 5350337316 is about 1749.0157530403.

Multiplying 5350337316 by its sum of digits (36), we get a square (192612143376 = 4388762).

5350337316 divided by its sum of digits (36) gives a square (148620481 = 121912).

The spelling of 5350337316 in words is "five billion, three hundred fifty million, three hundred thirty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 167 219 292 334 438 501 657 668 876 1002 1314 1503 2004 2628 3006 5329 6012 10658 12191 15987 21316 24382 27889 31974 36573 47961 48764 55778 63948 73146 83667 95922 109719 111556 146292 167334 191844 219438 251001 334668 438876 502002 889943 1004004 1779886 2035897 2669829 3559772 4071794 5339658 6107691 8009487 8143588 10679316 12215382 16018974 18323073 24430764 32037948 36646146 73292292 148620481 297240962 445861443 594481924 891722886 1337584329 1783445772 2675168658 5350337316