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5121746964 = 22363156659
BaseRepresentation
bin1001100010100011…
…11010100000010100
3111012221110201000000
410301101322200110
540442131400324
62204120451300
7240631062615
oct46121724024
914187421000
105121746964
112199102334
12bab319b30
13638147a09
14368313c0c
151ee9a49c9
hex13147a814

5121746964 has 84 divisors (see below), whose sum is σ = 13872181120. Its totient is φ = 1652147280.

The previous prime is 5121746921. The next prime is 5121746969. The reversal of 5121746964 is 4696471215.

5121746964 is a `hidden beast` number, since 5 + 121 + 7 + 469 + 64 = 666.

It is a super-3 number, since 3×51217469643 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5121746969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 62067 + ... + 118725.

Almost surely, 25121746964 is an apocalyptic number.

5121746964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5121746964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936090560).

5121746964 is an abundant number, since it is smaller than the sum of its proper divisors (8750434156).

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

5121746964 is a wasteful number, since it uses less digits than its factorization.

5121746964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56712 (or 56695 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5121746964 is about 71566.3815209348. The cubic root of 5121746964 is about 1723.7437568099.

The spelling of 5121746964 in words is "five billion, one hundred twenty-one million, seven hundred forty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 729 837 972 1116 1458 1674 2511 2916 3348 5022 7533 10044 15066 22599 30132 45198 56659 90396 113318 169977 226636 339954 509931 679908 1019862 1529793 1756429 2039724 3059586 3512858 4589379 5269287 6119172 7025716 9178758 10538574 13768137 15807861 18357516 21077148 27536274 31615722 41304411 47423583 55072548 63231444 82608822 94847166 142270749 165217644 189694332 284541498 426812247 569082996 853624494 1280436741 1707248988 2560873482 5121746964