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74036342016 = 28327132231181
BaseRepresentation
bin100010011110011101…
…0001110110100000000
321002002201102212012100
41010330322032310000
52203111300421031
654002315430400
75230455344430
oct1047472166400
9232081385170
1074036342016
112944264861a
1212422755400
136c9b751900
143824b0a2c0
151dd4b63de6
hex113ce8ed00

74036342016 has 648 divisors, whose sum is σ = 275888785536. Its totient is φ = 18661294080.

The previous prime is 74036341987. The next prime is 74036342033. The reversal of 74036342016 is 61024363047.

It is a happy number.

74036342016 is a `hidden beast` number, since 7 + 4 + 0 + 3 + 634 + 2 + 0 + 16 = 666.

It is a super-2 number, since 2×740363420162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62688946 + ... + 62690126.

Almost surely, 274036342016 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 74036342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137944392768).

74036342016 is an abundant number, since it is smaller than the sum of its proper divisors (201852443520).

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

74036342016 is a wasteful number, since it uses less digits than its factorization.

74036342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 74036342016 in words is "seventy-four billion, thirty-six million, three hundred forty-two thousand, sixteen".