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2291033395456 = 281321923832
BaseRepresentation
bin100001010101101100001…
…110110101000100000000
322010000120001112011122121
4201111230032311010000
5300014014022123311
64512253004414024
7324343641356251
oct41255416650400
98100501464577
102291033395456
11803692696403
12310026547314
13138074806300
147cc5abd0b28
153e8dd3a9b71
hex2156c3b5100

2291033395456 has 243 divisors, whose sum is σ = 5239983468069. Its totient is φ = 999131867136.

The previous prime is 2291033395429. The next prime is 2291033395481. The reversal of 2291033395456 is 6545933301922.

The square root of 2291033395456 is 1513616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 338910265600 + 1952123129856 = 582160^2 + 1397184^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5981810241 + ... + 5981810623.

Almost surely, 22291033395456 is an apocalyptic number.

2291033395456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2291033395456 is the 1513616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2291033395456

2291033395456 is an abundant number, since it is smaller than the sum of its proper divisors (2948950072613).

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

2291033395456 is an frugal number, since it uses more digits than its factorization.

2291033395456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 52.

The spelling of 2291033395456 in words is "two trillion, two hundred ninety-one billion, thirty-three million, three hundred ninety-five thousand, four hundred fifty-six".