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10666572336 = 2432719556943
BaseRepresentation
bin10011110111100011…
…01111101000110000
31000112101001000110200
421323301233220300
5133321120303321
64522233355200
7525220240350
oct117361575060
930471030420
1010666572336
114584002742
122098268b00
13100cb24684
147328b8b60
1542667ad26
hex27bc6fa30

10666572336 has 120 divisors (see below), whose sum is σ = 35911749120. Its totient is φ = 2887187328.

The previous prime is 10666572283. The next prime is 10666572347. The reversal of 10666572336 is 63327566601.

It is a super-2 number, since 2×106665723362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10666572291 and 10666572300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259320 + ... + 297623.

It is an arithmetic number, because the mean of its divisors is an integer number (299264576).

Almost surely, 210666572336 is an apocalyptic number.

10666572336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10666572336 is an abundant number, since it is smaller than the sum of its proper divisors (25245176784).

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

10666572336 is a wasteful number, since it uses less digits than its factorization.

10666572336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556983 (or 556974 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 10666572336 in words is "ten billion, six hundred sixty-six million, five hundred seventy-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 556943 1113886 1670829 2227772 3341658 3898601 4455544 5012487 6683316 7797202 8911088 10024974 10581917 11695803 13366632 15594404 20049948 21163834 23391606 26733264 31188808 31745751 35087409 40099896 42327668 46783212 62377616 63491502 70174818 74073419 80199792 84655336 93566424 95237253 126983004 140349636 148146838 169310672 187132848 190474506 222220257 253966008 280699272 296293676 380949012 444440514 507932016 561398544 592587352 666660771 761898024 888881028 1185174704 1333321542 1523796048 1777762056 2666643084 3555524112 5333286168 10666572336