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75468294352704 = 263111723179510553
BaseRepresentation
bin10001001010001101010100…
…111000000110111101000000
3100220012200212012011211212010
4101022031110320012331000
534342433031323241304
6424301353353132520
721616255454513211
oct2112152470067500
9326180765154763
1075468294352704
1122056a18786a90
12856a3170ba140
13331582537aa96
14148c983671408
158ad184604789
hex44a354e06f40

75468294352704 has 448 divisors, whose sum is σ = 242015339427840. Its totient is φ = 20473053511680.

The previous prime is 75468294352663. The next prime is 75468294352739. The reversal of 75468294352704 is 40725349286457.

75468294352704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×754682943527042 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147561492 + ... + 148072044.

Almost surely, 275468294352704 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 75468294352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121007669713920).

75468294352704 is an abundant number, since it is smaller than the sum of its proper divisors (166547045075136).

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

75468294352704 is a wasteful number, since it uses less digits than its factorization.

75468294352704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510798 (or 510788 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 66.

The spelling of 75468294352704 in words is "seventy-five trillion, four hundred sixty-eight billion, two hundred ninety-four million, three hundred fifty-two thousand, seven hundred four".