Search a number
-
+
5423117472 = 253226970001
BaseRepresentation
bin1010000110011111…
…00011010010100000
3111222221112220121200
411003033203102200
542101304224342
62254044121200
7251250511053
oct50317432240
914887486550
105423117472
112333232473
121074236200
13685705566
14396362a9a
1521b18494c
hex1433e34a0

5423117472 has 72 divisors (see below), whose sum is σ = 15479542260. Its totient is φ = 1800960000.

The previous prime is 5423117461. The next prime is 5423117489. The reversal of 5423117472 is 2747113245.

5423117472 is a `hidden beast` number, since 54 + 23 + 117 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5405778576 + 17338896 = 73524^2 + 4164^2 .

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

It is a super-2 number, since 2×54231174722 = 58820406230223341568, 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42472 + ... + 112472.

Almost surely, 25423117472 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 5423117472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739771130).

5423117472 is an abundant number, since it is smaller than the sum of its proper divisors (10056424788).

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

5423117472 is a wasteful number, since it uses less digits than its factorization.

5423117472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70286 (or 70275 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 5423117472 is about 73641.8187716735. The cubic root of 5423117472 is about 1756.9106306057.

The spelling of 5423117472 in words is "five billion, four hundred twenty-three million, one hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 269 288 538 807 1076 1614 2152 2421 3228 4304 4842 6456 8608 9684 12912 19368 25824 38736 70001 77472 140002 210003 280004 420006 560008 630009 840012 1120016 1260018 1680024 2240032 2520036 3360048 5040072 6720096 10080144 18830269 20160288 37660538 56490807 75321076 112981614 150642152 169472421 225963228 301284304 338944842 451926456 602568608 677889684 903852912 1355779368 1807705824 2711558736 5423117472