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10807067196 = 22336110715331
BaseRepresentation
bin10100001000010011…
…01100001000111100
31000220011101220012000
422010021230020330
5134113102122241
64544212542300
7531544361352
oct120411541074
930804356160
1010807067196
1146463425a2
122117321990
131032c76023
1474740b7d2
15433b7deb6
hex28426c23c

10807067196 has 96 divisors (see below), whose sum is σ = 28745660160. Its totient is φ = 3509956800.

The previous prime is 10807067177. The next prime is 10807067213. The reversal of 10807067196 is 69176070801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697251 + ... + 712581.

It is an arithmetic number, because the mean of its divisors is an integer number (299433960).

Almost surely, 210807067196 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 10807067196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14372830080).

10807067196 is an abundant number, since it is smaller than the sum of its proper divisors (17938592964).

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

10807067196 is a wasteful number, since it uses less digits than its factorization.

10807067196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15512 (or 15504 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10807067196 in words is "ten billion, eight hundred seven million, sixty-seven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 107 108 122 183 214 244 321 366 428 549 642 732 963 1098 1284 1647 1926 2196 2889 3294 3852 5778 6527 6588 11556 13054 15331 19581 26108 30662 39162 45993 58743 61324 78324 91986 117486 137979 176229 183972 234972 275958 352458 413937 551916 704916 827874 935191 1640417 1655748 1870382 2805573 3280834 3740764 4921251 5611146 6561668 8416719 9842502 11222292 14763753 16833438 19685004 25250157 29527506 33666876 44291259 50500314 59055012 88582518 100065437 101000628 177165036 200130874 300196311 400261748 600392622 900588933 1200785244 1801177866 2701766799 3602355732 5403533598 10807067196