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10340610016 = 2511731033907
BaseRepresentation
bin10011010000101100…
…10010111111100000
3222200122200102020011
421220112102333200
5132134144010031
64430031054304
7514151510032
oct115026227740
928618612204
1010340610016
1144270063a0
122007071394
13c8a436669
147014a7c52
15407c3e6b1
hex268592fe0

10340610016 has 96 divisors (see below), whose sum is σ = 22737431808. Its totient is φ = 4589706240.

The previous prime is 10340610001. The next prime is 10340610023. The reversal of 10340610016 is 61001604301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2644735 + ... + 2648641.

It is an arithmetic number, because the mean of its divisors is an integer number (236848248).

Almost surely, 210340610016 is an apocalyptic number.

10340610016 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 10340610016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11368715904).

10340610016 is an abundant number, since it is smaller than the sum of its proper divisors (12396821792).

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

10340610016 is a wasteful number, since it uses less digits than its factorization.

10340610016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 10340610016 in words is "ten billion, three hundred forty million, six hundred ten thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 103 146 176 206 292 352 412 584 803 824 1133 1168 1606 1648 2266 2336 3212 3296 3907 4532 6424 7519 7814 9064 12848 15038 15628 18128 25696 30076 31256 36256 42977 60152 62512 82709 85954 120304 125024 165418 171908 240608 285211 330836 343816 402421 570422 661672 687632 804842 1140844 1323344 1375264 1609684 2281688 2646688 3137321 3219368 4426631 4563376 6274642 6438736 8853262 9126752 12549284 12877472 17706524 25098568 29376733 35413048 50197136 58753466 70826096 100394272 117506932 141652192 235013864 323144063 470027728 646288126 940055456 1292576252 2585152504 5170305008 10340610016