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23419273164 = 22372321795563
BaseRepresentation
bin10101110011111001…
…011011111111001100
32020110010111100020120
4111303321123333030
5340430313220124
614431512144540
71456231352220
oct256371337714
966403440216
1023419273164
119a28629611
124657098150
132292bbb0b1
1411c246c780
1592102dd79
hex573e5bfcc

23419273164 has 96 divisors (see below), whose sum is σ = 65208299520. Its totient is φ = 6396211008.

The previous prime is 23419273109. The next prime is 23419273177. The reversal of 23419273164 is 46137291432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4207047 + ... + 4212609.

It is an arithmetic number, because the mean of its divisors is an integer number (679253120).

Almost surely, 223419273164 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 23419273164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32604149760).

23419273164 is an abundant number, since it is smaller than the sum of its proper divisors (41789026356).

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

23419273164 is a wasteful number, since it uses less digits than its factorization.

23419273164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779 (or 7777 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The spelling of 23419273164 in words is "twenty-three billion, four hundred nineteen million, two hundred seventy-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 2179 4358 5563 6537 8716 11126 13074 15253 16689 22252 26148 30506 33378 38941 45759 50117 61012 66756 77882 91518 100234 116823 127949 150351 155764 183036 200468 233646 255898 300702 350819 383847 467292 511796 601404 701638 767694 895643 1052457 1403276 1535388 1791286 2104914 2686929 3582572 4209828 5373858 10747716 12121777 24243554 36365331 48487108 72730662 84852439 145461324 169704878 254557317 278800871 339409756 509114634 557601742 836402613 1018229268 1115203484 1672805226 1951606097 3345610452 3903212194 5854818291 7806424388 11709636582 23419273164