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10666979532 = 22331119346523
BaseRepresentation
bin10011110111100110…
…10011000011001100
31000112101210201001000
421323303103003030
5133321221321112
64522250220300
7525223554456
oct117363230314
930471721030
1010666979532
114584260670
122098424690
13100cc37b11
147329832d6
1542670b7dc
hex27bcd30cc

10666979532 has 96 divisors (see below), whose sum is σ = 30326204160. Its totient is φ = 3215600640.

The previous prime is 10666979527. The next prime is 10666979597. The reversal of 10666979532 is 23597966601.

It is a super-2 number, since 2×106669795322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 206023 + ... + 252545.

It is an arithmetic number, because the mean of its divisors is an integer number (315897960).

Almost surely, 210666979532 is an apocalyptic number.

10666979532 is a gapful number since it is divisible by the number (12) 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 10666979532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163102080).

10666979532 is an abundant number, since it is smaller than the sum of its proper divisors (19659224628).

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

10666979532 is a wasteful number, since it uses less digits than its factorization.

10666979532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46740 (or 46732 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 10666979532 in words is "ten billion, six hundred sixty-six million, nine hundred seventy-nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 193 198 297 386 396 579 594 772 1158 1188 1737 2123 2316 3474 4246 5211 6369 6948 8492 10422 12738 19107 20844 25476 38214 46523 57321 76428 93046 114642 139569 186092 229284 279138 418707 511753 558276 837414 1023506 1256121 1535259 1674828 2047012 2512242 3070518 4605777 5024484 6141036 8978939 9211554 13817331 17957878 18423108 26936817 27634662 35915756 53873634 55269324 80810451 98768329 107747268 161620902 197536658 242431353 296304987 323241804 395073316 484862706 592609974 888914961 969725412 1185219948 1777829922 2666744883 3555659844 5333489766 10666979532