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92766661116 = 223234314515387
BaseRepresentation
bin101011001100101010…
…0101110100111111100
322212110001211122200120
41112121110232213330
53004441231123431
6110341051254540
76462562415643
oct1263124564774
9285401748616
1092766661116
11363843a8588
1215b8b44a450
13899507886c
1446c052435a
15262e1cd196
hex159952e9fc

92766661116 has 96 divisors (see below), whose sum is σ = 231321581568. Its totient is φ = 28864651200.

The previous prime is 92766661111. The next prime is 92766661151. The reversal of 92766661116 is 61116666729.

It is a super-2 number, since 2×927666611162 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92766661111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17217775 + ... + 17223161.

It is an arithmetic number, because the mean of its divisors is an integer number (2409599808).

Almost surely, 292766661116 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 92766661116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115660790784).

92766661116 is an abundant number, since it is smaller than the sum of its proper divisors (138554920452).

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

92766661116 is a wasteful number, since it uses less digits than its factorization.

92766661116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911 (or 6909 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The spelling of 92766661116 in words is "ninety-two billion, seven hundred sixty-six million, six hundred sixty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 989 1451 1978 2902 2967 3956 4353 5387 5804 5934 8706 10774 11868 16161 17412 21548 32322 33373 62393 64644 66746 100119 123901 124786 133492 187179 200238 231641 247802 249572 371703 374358 400476 463282 495604 694923 743406 748716 926564 1389846 1435039 1486812 2779692 2870078 4305117 5327743 5740156 7816537 8610234 10655486 15633074 15983229 17220468 21310972 23449611 31266148 31966458 46899222 63932916 93798444 179780351 336111091 359560702 539341053 672222182 719121404 1008333273 1078682106 1344444364 2016666546 2157364212 4033333092 7730555093 15461110186 23191665279 30922220372 46383330558 92766661116