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2293531066368 = 21432234315727
BaseRepresentation
bin100001011000000001000…
…110101100000000000000
322010021000010100000000200
4201120001012230000000
5300034122423110433
64513344510245200
7324462560254533
oct41300106540000
98107003300020
102293531066368
11804754549543
12310602ab6800
131383820cb5a9
147d0167d6a1a
153e9d77c5613
hex216011ac000

2293531066368 has 360 divisors, whose sum is σ = 7074853513728. Its totient is φ = 714219061248.

The previous prime is 2293531066349. The next prime is 2293531066501. The reversal of 2293531066368 is 8636601353922.

2293531066368 is a `hidden beast` number, since 2 + 293 + 5 + 310 + 6 + 6 + 36 + 8 = 666.

It is a super-2 number, since 2×22935310663682 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145826121 + ... + 145841847.

Almost surely, 22293531066368 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 2293531066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537426756864).

2293531066368 is an abundant number, since it is smaller than the sum of its proper divisors (4781322447360).

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

2293531066368 is a wasteful number, since it uses less digits than its factorization.

2293531066368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15827 (or 15798 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 2293531066368 in words is "two trillion, two hundred ninety-three billion, five hundred thirty-one million, sixty-six thousand, three hundred sixty-eight".