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73942742016 = 210321113192953
BaseRepresentation
bin100010011011101010…
…1001011010000000000
321001212012022111010200
41010313111023100000
52202413320221031
653545133325200
75225240636223
oct1046725132000
9231765274120
1073942742016
11293a4828550
12123b7336800
136c8523c1b0
1438165035ba
151dcb8258e6
hex113754b400

73942742016 has 528 divisors, whose sum is σ = 264125883840. Its totient is φ = 19588055040.

The previous prime is 73942742011. The next prime is 73942742023. The reversal of 73942742016 is 61024724937.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73942742011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25038396 + ... + 25041348.

Almost surely, 273942742016 is an apocalyptic number.

73942742016 is a gapful number since it is divisible by the number (76) 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 73942742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132062941920).

73942742016 is an abundant number, since it is smaller than the sum of its proper divisors (190183141824).

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

73942742016 is a wasteful number, since it uses less digits than its factorization.

73942742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 73942742016 in words is "seventy-three billion, nine hundred forty-two million, seven hundred forty-two thousand, sixteen".