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10514612052 = 2233774318719
BaseRepresentation
bin10011100101011100…
…00011111101010100
31000010210002122011000
421302232003331110
5133013220041202
64455204343300
7521363504430
oct116256037524
930123078130
1010514612052
11450625172a
1220553a4b30
13cb74ba449
1471a63d9c0
1541816091c
hex272b83f54

10514612052 has 96 divisors (see below), whose sum is σ = 31198003200. Its totient is φ = 2999971296.

The previous prime is 10514612051. The next prime is 10514612063. The reversal of 10514612052 is 25021641501.

It is a super-2 number, since 2×105146120522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10514612051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552349 + ... + 571067.

It is an arithmetic number, because the mean of its divisors is an integer number (324979200).

Almost surely, 210514612052 is an apocalyptic number.

10514612052 is a gapful number since it is divisible by the number (12) 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 10514612052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599001600).

10514612052 is an abundant number, since it is smaller than the sum of its proper divisors (20683391148).

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

10514612052 is a wasteful number, since it uses less digits than its factorization.

10514612052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19482 (or 19474 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10514612052 in words is "ten billion, five hundred fourteen million, six hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 743 756 1486 2229 2972 4458 5201 6687 8916 10402 13374 15603 18719 20061 20804 26748 31206 37438 40122 46809 56157 62412 74876 80244 93618 112314 131033 140427 168471 187236 224628 262066 280854 336942 393099 505413 524132 561708 673884 786198 1010826 1179297 1572396 2021652 2358594 3537891 4717188 7075782 13908217 14151564 27816434 41724651 55632868 83449302 97357519 125173953 166898604 194715038 250347906 292072557 375521859 389430076 500695812 584145114 751043718 876217671 1168290228 1502087436 1752435342 2628653013 3504870684 5257306026 10514612052