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21976340344 = 23711322715299
BaseRepresentation
bin10100011101111001…
…000101011101111000
32002201120100202112021
4110131321011131320
5330001420342334
614032405124224
71405410545050
oct243571053570
962646322467
1021976340344
119358086852
1243139b9674
1320c2c89baa
1410c6982560
158895083b4
hex51de45778

21976340344 has 64 divisors (see below), whose sum is σ = 47721312000. Its totient is φ = 9293351424.

The previous prime is 21976340327. The next prime is 21976340359. The reversal of 21976340344 is 44304367912.

It is a self number, because there is not a number n which added to its sum of digits gives 21976340344.

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 15 ways as a sum of consecutive naturals, for example, 1428807 + ... + 1444105.

It is an arithmetic number, because the mean of its divisors is an integer number (745645500).

Almost surely, 221976340344 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 21976340344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23860656000).

21976340344 is an abundant number, since it is smaller than the sum of its proper divisors (25744971656).

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

21976340344 is a wasteful number, since it uses less digits than its factorization.

21976340344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15652 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 21976340344 in words is "twenty-one billion, nine hundred seventy-six million, three hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 227 452 454 791 904 908 1582 1589 1816 3164 3178 6328 6356 12712 15299 25651 30598 51302 61196 102604 107093 122392 179557 205208 214186 359114 428372 718228 856744 1436456 1728787 3457574 3472873 6915148 6945746 12101509 13830296 13891492 24203018 24310111 27782984 48406036 48620222 96812072 97240444 194480888 392434649 784869298 1569738596 2747042543 3139477192 5494085086 10988170172 21976340344