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73999240306464 = 253111672511671757
BaseRepresentation
bin10000110100110101001010…
…011011101001111100100000
3100201000020222021211001010010
4100310311022123221330200
534144400421004301324
6421214440502404520
721405161105245164
oct2064651233517440
9321006867731103
1073999240306464
112163a9a0aa67a0
12837166ba30740
13323a1382c2725
14143b821d2cca4
15884d53e3b829
hex434d4a6e9f20

73999240306464 has 192 divisors, whose sum is σ = 214025253184512. Its totient is φ = 22200919680000.

The previous prime is 73999240306463. The next prime is 73999240306471. The reversal of 73999240306464 is 46460304299937.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 73999240306395 and 73999240306404.

It is not an unprimeable number, because it can be changed into a prime (73999240306463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43428474 + ... + 45100230.

It is an arithmetic number, because the mean of its divisors is an integer number (1114714860336).

Almost surely, 273999240306464 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 73999240306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107012626592256).

73999240306464 is an abundant number, since it is smaller than the sum of its proper divisors (140026012878048).

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

73999240306464 is a wasteful number, since it uses less digits than its factorization.

73999240306464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672199 (or 1672191 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 66.

The spelling of 73999240306464 in words is "seventy-three trillion, nine hundred ninety-nine billion, two hundred forty million, three hundred six thousand, four hundred sixty-four".