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73207411648 = 267312971753
BaseRepresentation
bin100010000101110000…
…0000111001111000000
320222221221122211111121
41010023200013033000
52144412044133043
653344144522024
75201101506010
oct1041340071700
9228857584447
1073207411648
11290577479a8
1212231020314
136b98aac877
1437869adc40
151d86ec4ded
hex110b8073c0

73207411648 has 168 divisors, whose sum is σ = 173419776096. Its totient is φ = 30032363520.

The previous prime is 73207411639. The next prime is 73207411649. The reversal of 73207411648 is 84611470237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73207411649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41760340 + ... + 41762092.

It is an arithmetic number, because the mean of its divisors is an integer number (1032260572).

Almost surely, 273207411648 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 73207411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86709888048).

73207411648 is an abundant number, since it is smaller than the sum of its proper divisors (100212364448).

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

73207411648 is a wasteful number, since it uses less digits than its factorization.

73207411648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 73207411648 in words is "seventy-three billion, two hundred seven million, four hundred eleven thousand, six hundred forty-eight".