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2273680323936 = 253572171732029
BaseRepresentation
bin100001000101100001111…
…010000111010101100000
322001100202200122210200000
4201011201322013111200
5244222444130331221
64500303032100000
7323160626606100
oct41054172072540
98040680583600
102273680323936
117a72982a498a
123087a2b34600
1313653a622958
147c092285200
153e224bdde26
hex21161e87560

2273680323936 has 864 divisors, whose sum is σ = 8310642107040. Its totient is φ = 607576080384.

The previous prime is 2273680323923. The next prime is 2273680323961. The reversal of 2273680323936 is 6393230863722.

2273680323936 is a `hidden beast` number, since 227 + 3 + 6 + 8 + 0 + 323 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1120590570 + ... + 1120592598.

It is an arithmetic number, because the mean of its divisors is an integer number (9618798735).

Almost surely, 22273680323936 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 2273680323936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155321053520).

2273680323936 is an abundant number, since it is smaller than the sum of its proper divisors (6036961783104).

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

2273680323936 is a wasteful number, since it uses less digits than its factorization.

2273680323936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 2273680323936 in words is "two trillion, two hundred seventy-three billion, six hundred eighty million, three hundred twenty-three thousand, nine hundred thirty-six".