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10340521512 = 2334749918371
BaseRepresentation
bin10011010000101011…
…11101011000101000
3222200122111220211020
421220111331120220
5132134133142022
64430025132440
7514150661016
oct115025753050
928618456736
1010340521512
114426a55952
12200702a120
13c8a4052a9
147014838b6
15407c2335c
hex26857d628

10340521512 has 64 divisors (see below), whose sum is σ = 26455680000. Its totient is φ = 3366559680.

The previous prime is 10340521511. The next prime is 10340521519. The reversal of 10340521512 is 21512504301.

It is a happy number.

It is a super-2 number, since 2×103405215122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10340521511) 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, 553687 + ... + 572057.

It is an arithmetic number, because the mean of its divisors is an integer number (413370000).

Almost surely, 210340521512 is an apocalyptic number.

10340521512 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 10340521512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13227840000).

10340521512 is an abundant number, since it is smaller than the sum of its proper divisors (16115158488).

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

10340521512 is a wasteful number, since it uses less digits than its factorization.

10340521512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18926 (or 18922 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 10340521512 in words is "ten billion, three hundred forty million, five hundred twenty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 499 564 998 1128 1497 1996 2994 3992 5988 11976 18371 23453 36742 46906 55113 70359 73484 93812 110226 140718 146968 187624 220452 281436 440904 562872 863437 1726874 2590311 3453748 5180622 6907496 9167129 10361244 18334258 20722488 27501387 36668516 55002774 73337032 110005548 220011096 430855063 861710126 1292565189 1723420252 2585130378 3446840504 5170260756 10340521512