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74055848122368 = 21132723161131331
BaseRepresentation
bin10000110101101001111000…
…100001010101100000000000
3100201012200002101102001002100
4100311221320201111200000
534201312334104403433
6421300441552350400
721412233644610300
oct2065517041254000
9321180071361070
1074055848122368
11216619aa6a6722
128380629845400
13324258a032498
14144047208b600
1588656897cb13
hex435a78855800

74055848122368 has 1728 divisors, whose sum is σ = 263830983736320. Its totient is φ = 19926466560000.

The previous prime is 74055848122331. The next prime is 74055848122391. The reversal of 74055848122368 is 86322184855047.

74055848122368 is a `hidden beast` number, since 7 + 4 + 0 + 5 + 584 + 8 + 12 + 2 + 36 + 8 = 666.

It is a super-2 number, since 2×740558481223682 (a number of 29 digits) contains 22 as substring.

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

It is a congruent 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 143 ways as a sum of consecutive naturals, for example, 223733679963 + ... + 223733680293.

It is an arithmetic number, because the mean of its divisors is an integer number (152679967440).

Almost surely, 274055848122368 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 74055848122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131915491868160).

74055848122368 is an abundant number, since it is smaller than the sum of its proper divisors (189775135613952).

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

74055848122368 is a wasteful number, since it uses less digits than its factorization.

74055848122368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 74055848122368 in words is "seventy-four trillion, fifty-five billion, eight hundred forty-eight million, one hundred twenty-two thousand, three hundred sixty-eight".