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21676162116 = 22373119494271
BaseRepresentation
bin10100001011111111…
…111111110001000100
32001221122112010102010
4110023333333301010
5323343044141431
613542523214220
71365104223630
oct241377776104
961848463363
1021676162116
1192136a0474
12424b377370
132075a28c3b
141098b63dc0
1586ceb1846
hex50bfffc44

21676162116 has 96 divisors (see below), whose sum is σ = 59712307200. Its totient is φ = 5988931200.

The previous prime is 21676162097. The next prime is 21676162129. The reversal of 21676162116 is 61126167612.

It is a super-2 number, since 2×216761621162 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5073061 + ... + 5077331.

It is an arithmetic number, because the mean of its divisors is an integer number (622003200).

Almost surely, 221676162116 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 21676162116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29856153600).

21676162116 is an abundant number, since it is smaller than the sum of its proper divisors (38036145084).

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

21676162116 is a wasteful number, since it uses less digits than its factorization.

21676162116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265 (or 6263 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The spelling of 21676162116 in words is "twenty-one billion, six hundred seventy-six million, one hundred sixty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 1949 2604 3898 4271 5847 7796 8542 11694 12813 13643 17084 23388 25626 27286 29897 40929 51252 54572 59794 60419 81858 89691 119588 120838 132401 163716 179382 181257 241676 264802 358764 362514 397203 422933 529604 725028 794406 845866 926807 1268799 1588812 1691732 1853614 2537598 2780421 3707228 5075196 5560842 8324179 11121684 16648358 24972537 33296716 49945074 58269253 99890148 116538506 174807759 233077012 258049549 349615518 516099098 699231036 774148647 1032198196 1548297294 1806346843 3096594588 3612693686 5419040529 7225387372 10838081058 21676162116