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10746020646 = 23219972271427
BaseRepresentation
bin10100000001000001…
…10100001100100110
31000201220112102001200
422000200310030212
5134001440130041
64534152303330
7530203445154
oct120040641446
930656472050
1010746020646
1146149373a9
1220ba9a1b46
1310234208ca
1473d27a3d4
1542d6211b6
hex280834326

10746020646 has 96 divisors (see below), whose sum is σ = 24887640960. Its totient is φ = 3341357568.

The previous prime is 10746020567. The next prime is 10746020657. The reversal of 10746020646 is 64602064701.

10746020646 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 6 + 0 + 2 + 0 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10746020646.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7529785 + ... + 7531211.

It is an arithmetic number, because the mean of its divisors is an integer number (259246260).

Almost surely, 210746020646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10746020646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443820480).

10746020646 is an abundant number, since it is smaller than the sum of its proper divisors (14141620314).

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

10746020646 is a wasteful number, since it uses less digits than its factorization.

10746020646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10746020646 in words is "ten billion, seven hundred forty-six million, twenty thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 97 114 171 194 227 291 342 454 582 681 873 1362 1427 1746 1843 2043 2854 3686 4086 4281 4313 5529 8562 8626 11058 12843 12939 16587 22019 25686 25878 27113 33174 38817 44038 54226 66057 77634 81339 132114 138419 162678 198171 244017 276838 323929 396342 415257 418361 488034 647858 830514 836722 971787 1245771 1255083 1943574 2491542 2510166 2629961 2915361 3765249 5259922 5830722 6154651 7530498 7889883 12309302 15779766 18463953 23669649 31421113 36927906 47339298 55391859 62842226 94263339 110783718 188526678 282790017 565580034 597001147 1194002294 1791003441 3582006882 5373010323 10746020646