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22997542009344 = 293759972511489
BaseRepresentation
bin1010011101010100010000…
…10100100111101000000000
310000102112200020120220210220
411032222020110213220000
511003242431223244334
6120524531442223040
74562342346504330
oct516521024475000
9100375606526726
1022997542009344
117367225a12a81
1226b50b2354a80
13caa8748027a6
1459713091b0c0
1529d3438eb449
hex14ea88527a00

22997542009344 has 640 divisors, whose sum is σ = 72275274086400. Its totient is φ = 6363021312000.

The previous prime is 22997542009313. The next prime is 22997542009373. The reversal of 22997542009344 is 44390024579922.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15444956952 + ... + 15444958440.

It is an arithmetic number, because the mean of its divisors is an integer number (112930115760).

Almost surely, 222997542009344 is an apocalyptic number.

22997542009344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22997542009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36137637043200).

22997542009344 is an abundant number, since it is smaller than the sum of its proper divisors (49277732077056).

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

22997542009344 is a wasteful number, since it uses less digits than its factorization.

22997542009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 22997542009344 in words is "twenty-two trillion, nine hundred ninety-seven billion, five hundred forty-two million, nine thousand, three hundred forty-four".