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2253031872896 = 27726189127521
BaseRepresentation
bin100000110010010011001…
…010100001100110000000
321222101110122221210211002
4200302103022201212000
5243403202124413041
64443010100111132
7321530141636300
oct40622312414600
97871418853732
102253031872896
11799561835012
1230479b9954a8
131345c97b709c
147b093c03600
153d91708459b
hex20c932a1980

2253031872896 has 384 divisors, whose sum is σ = 5419131724800. Its totient is φ = 929901772800.

The previous prime is 2253031872797. The next prime is 2253031872911. The reversal of 2253031872896 is 6982781303522.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4324437116 + ... + 4324437636.

It is an arithmetic number, because the mean of its divisors is an integer number (14112322200).

Almost surely, 22253031872896 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 2253031872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709565862400).

2253031872896 is an abundant number, since it is smaller than the sum of its proper divisors (3166099851904).

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

2253031872896 is a wasteful number, since it uses less digits than its factorization.

2253031872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 2253031872896 in words is "two trillion, two hundred fifty-three billion, thirty-one million, eight hundred seventy-two thousand, eight hundred ninety-six".