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5065070832 = 243382114281
BaseRepresentation
bin1001011011110011…
…01101100011110000
3111001222211020222000
410231321231203300
540333124231312
62154334014000
7236342251233
oct45571554360
914058736860
105065070832
11216a111758
12b94347300
13629492943
1436099d41a
151e9a0badc
hex12de6d8f0

5065070832 has 80 divisors (see below), whose sum is σ = 14557356960. Its totient is φ = 1686182400.

The previous prime is 5065070821. The next prime is 5065070839. The reversal of 5065070832 is 2380705605.

5065070832 is a `hidden beast` number, since 506 + 5 + 0 + 70 + 83 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5065070839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347532 + ... + 361812.

It is an arithmetic number, because the mean of its divisors is an integer number (181966962).

Almost surely, 25065070832 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 5065070832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7278678480).

5065070832 is an abundant number, since it is smaller than the sum of its proper divisors (9492286128).

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

5065070832 is a wasteful number, since it uses less digits than its factorization.

5065070832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15119 (or 15107 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5065070832 is about 71169.3110265935. The cubic root of 5065070832 is about 1717.3619682743.

The spelling of 5065070832 in words is "five billion, sixty-five million, seventy thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 821 1642 2463 3284 4926 6568 7389 9852 13136 14281 14778 19704 22167 28562 29556 39408 42843 44334 57124 59112 85686 88668 114248 118224 128529 171372 177336 228496 257058 342744 354672 385587 514116 685488 771174 1028232 1542348 2056464 3084696 6169392 11724701 23449402 35174103 46898804 70348206 93797608 105522309 140696412 187595216 211044618 281392824 316566927 422089236 562785648 633133854 844178472 1266267708 1688356944 2532535416 5065070832