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10342060736 = 267229113719
BaseRepresentation
bin10011010000110111…
…10101001011000000
3222200202102010020112
421220123311023000
5132140031420421
64430122130452
7514200031400
oct115033651300
928622363215
1010342060736
114427907337
122007650a28
13c8a823a87
14701764800
15407e2945b
hex2686f52c0

10342060736 has 84 divisors (see below), whose sum is σ = 24696572400. Its totient is φ = 4279435776.

The previous prime is 10342060727. The next prime is 10342060759. The reversal of 10342060736 is 63706024301.

It is a super-2 number, since 2×103420607362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34085 + ... + 147803.

Almost surely, 210342060736 is an apocalyptic number.

10342060736 is a gapful number since it is divisible by the number (16) 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 10342060736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348286200).

10342060736 is an abundant number, since it is smaller than the sum of its proper divisors (14354511664).

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

10342060736 is a wasteful number, since it uses less digits than its factorization.

10342060736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113774 (or 113757 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 10342060736 in words is "ten billion, three hundred forty-two million, sixty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 196 203 224 232 392 406 448 464 784 812 928 1421 1568 1624 1856 2842 3136 3248 5684 6496 11368 12992 22736 45472 90944 113719 227438 454876 796033 909752 1592066 1819504 3184132 3297851 3639008 5572231 6368264 6595702 7278016 11144462 12736528 13191404 22288924 23084957 25473056 26382808 44577848 46169914 50946112 52765616 89155696 92339828 105531232 161594699 178311392 184679656 211062464 323189398 356622784 369359312 646378796 738718624 1292757592 1477437248 2585515184 5171030368 10342060736