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77210230104 = 23337314140177
BaseRepresentation
bin100011111101000010…
…1101001110101011000
321101021220200002011000
41013322011221311120
52231111304330404
655245255105000
75402225061450
oct1077205516530
9241256602130
1077210230104
112a821186727
1212b69672160
13738617a0b7
143a46458d60
15201d605339
hex11fa169d58

77210230104 has 256 divisors, whose sum is σ = 259196313600. Its totient is φ = 20827238400.

The previous prime is 77210230093. The next prime is 77210230177. The reversal of 77210230104 is 40103201277.

It is a happy number.

It is a super-2 number, since 2×772102301042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1901664 + ... + 1941840.

It is an arithmetic number, because the mean of its divisors is an integer number (1012485600).

Almost surely, 277210230104 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 77210230104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129598156800).

77210230104 is an abundant number, since it is smaller than the sum of its proper divisors (181986083496).

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

77210230104 is a wasteful number, since it uses less digits than its factorization.

77210230104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40271 (or 40261 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 77210230104 in words is "seventy-seven billion, two hundred ten million, two hundred thirty thousand, one hundred four".