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2273631378816 = 2737356330661
BaseRepresentation
bin100001000101011110111…
…111011001110110000000
322001100122021120010120210
4201011132333121312000
5244222344113110231
64500254123034120
7323156463564000
oct41053677316600
98040567503523
102273631378816
117a7272704776
1230878a66b940
13136530446745
147c089984000
153e220771a46
hex2115efd9d80

2273631378816 has 256 divisors, whose sum is σ = 7055694144000. Its totient is φ = 648433981440.

The previous prime is 2273631378791. The next prime is 2273631378827. The reversal of 2273631378816 is 6188731363722.

2273631378816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 74138526 + ... + 74169186.

It is an arithmetic number, because the mean of its divisors is an integer number (27561305250).

Almost surely, 22273631378816 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 2273631378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527847072000).

2273631378816 is an abundant number, since it is smaller than the sum of its proper divisors (4782062765184).

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

2273631378816 is an equidigital number, since it uses as much as digits as its factorization.

2273631378816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31262 (or 31236 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The spelling of 2273631378816 in words is "two trillion, two hundred seventy-three billion, six hundred thirty-one million, three hundred seventy-eight thousand, eight hundred sixteen".