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123092266677216 = 253172915721178511
BaseRepresentation
bin11011111111001110100110…
…110101000111001111100000
3121010211111122201002011002220
4123333032212311013033200
5112113220430232132331
61113443450123311040
734633060055231214
oct3377164665071740
9533744581064086
10123092266677216
1136248156592131
121198013307b480
13538b721557765
1422579a9cda944
15e36da4214296
hex6ff3a6d473e0

123092266677216 has 384 divisors, whose sum is σ = 357868348508160. Its totient is φ = 36872014233600.

The previous prime is 123092266677203. The next prime is 123092266677221. The reversal of 123092266677216 is 612776662290321.

It is a super-3 number, since 3×1230922666772163 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 123092266677216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1567795401 + ... + 1567873911.

It is an arithmetic number, because the mean of its divisors is an integer number (931948824240).

Almost surely, 2123092266677216 is an apocalyptic number.

123092266677216 is a gapful number since it is divisible by the number (16) 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 123092266677216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178934174254080).

123092266677216 is an abundant number, since it is smaller than the sum of its proper divisors (234776081830944).

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

123092266677216 is a wasteful number, since it uses less digits than its factorization.

123092266677216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78938 (or 78930 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 123092266677216 in words is "one hundred twenty-three trillion, ninety-two billion, two hundred sixty-six million, six hundred seventy-seven thousand, two hundred sixteen".