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2273653758096 = 2433723112372801
BaseRepresentation
bin100001000101100000010…
…100110001100010010000
322001100200211200010012000
4201011200110301202100
5244222420330224341
64500300242434000
7323160155032500
oct41054024614220
98040624603160
102273653758096
117a72842aa646
12308796062900
13136534c80b16
147c08c92ba00
153e2226e28b6
hex21160531890

2273653758096 has 480 divisors, whose sum is σ = 7845764981760. Its totient is φ = 627927552000.

The previous prime is 2273653758067. The next prime is 2273653758109. The reversal of 2273653758096 is 6908573563722.

It is a happy number.

2273653758096 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 6 + 537 + 5 + 8 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 811727896 + ... + 811730696.

It is an arithmetic number, because the mean of its divisors is an integer number (16345343712).

Almost surely, 22273653758096 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 2273653758096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922882490880).

2273653758096 is an abundant number, since it is smaller than the sum of its proper divisors (5572111223664).

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

2273653758096 is a wasteful number, since it uses less digits than its factorization.

2273653758096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 2273653758096 in words is "two trillion, two hundred seventy-three billion, six hundred fifty-three million, seven hundred fifty-eight thousand, ninety-six".