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5461331472 = 243312641971
BaseRepresentation
bin1010001011000010…
…10100111000010000
3112002121110101101000
411011201110320100
542141100101342
62301531142000
7252223360122
oct50541247020
915077411330
105461331472
112352863193
121084ba4900
136905c51ac
1439b46d212
1521e6d244c
hex145854e10

5461331472 has 40 divisors (see below), whose sum is σ = 15676045280. Its totient is φ = 1820443680.

The previous prime is 5461331459. The next prime is 5461331479. The reversal of 5461331472 is 2741331645.

5461331472 is a `hidden beast` number, since 5 + 4 + 613 + 31 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×54613314722 = 59652282894115373568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5461331479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6320554 + ... + 6321417.

It is an arithmetic number, because the mean of its divisors is an integer number (391901132).

Almost surely, 25461331472 is an apocalyptic number.

It is an amenable number.

5461331472 is an abundant number, since it is smaller than the sum of its proper divisors (10214713808).

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

5461331472 is a wasteful number, since it uses less digits than its factorization.

5461331472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12641988 (or 12641976 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5461331472 is about 73900.8218628183. The cubic root of 5461331472 is about 1761.0276660124.

The spelling of 5461331472 in words is "five billion, four hundred sixty-one million, three hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 12641971 25283942 37925913 50567884 75851826 101135768 113777739 151703652 202271536 227555478 303407304 341333217 455110956 606814608 682666434 910221912 1365332868 1820443824 2730665736 5461331472