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92220049539072 = 214367213172331
BaseRepresentation
bin10100111101111110100111…
…010010110100000000000000
3110002112011001210221221000000
4110331332213102310000000
544041413130140222242
6524045150024000000
725265451540301500
oct2475764722640000
9402464053857000
1092220049539072
112742533787a644
12a414a44000000
133c5c40c5a2250
1418ab68d353a00
15a9dcc6082a4c
hex53dfa74b4000

92220049539072 has 5040 divisors, whose sum is σ = 395087654771712. Its totient is φ = 21189497978880.

The previous prime is 92220049539071. The next prime is 92220049539097. The reversal of 92220049539072 is 27093594002229.

92220049539072 is a `hidden beast` number, since 9 + 2 + 2 + 200 + 49 + 5 + 390 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92220049539071) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2974840307697 + ... + 2974840307727.

Almost surely, 292220049539072 is an apocalyptic number.

92220049539072 is a gapful number since it is divisible by the number (92) 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 92220049539072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197543827385856).

92220049539072 is an abundant number, since it is smaller than the sum of its proper divisors (302867605232640).

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

92220049539072 is a wasteful number, since it uses less digits than its factorization.

92220049539072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 92220049539072 in words is "ninety-two trillion, two hundred twenty billion, forty-nine million, five hundred thirty-nine thousand, seventy-two".