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20322141640 = 2358322327449
BaseRepresentation
bin10010111011010010…
…110100010111001000
31221110021200202111121
4102323102310113020
5313104432013030
613200314005024
71316413232233
oct227322642710
957407622447
1020322141640
118689356889
123b31a16774
131bbb3588a8
14daadc041a
157de1a047a
hex4bb4b45c8

20322141640 has 64 divisors (see below), whose sum is σ = 46484928000. Its totient is φ = 7994614272.

The previous prime is 20322141629. The next prime is 20322141659. The reversal of 20322141640 is 4614122302.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726636 + ... + 754084.

It is an arithmetic number, because the mean of its divisors is an integer number (726327000).

Almost surely, 220322141640 is an apocalyptic number.

20322141640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23242464000).

20322141640 is an abundant number, since it is smaller than the sum of its proper divisors (26162786360).

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

20322141640 is a wasteful number, since it uses less digits than its factorization.

20322141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27766 (or 27762 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 20322141640 its reverse (4614122302), we get a palindrome (24936263942).

The spelling of 20322141640 in words is "twenty billion, three hundred twenty-two million, one hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 223 332 415 446 664 830 892 1115 1660 1784 2230 3320 4460 8920 18509 27449 37018 54898 74036 92545 109796 137245 148072 185090 219592 274490 370180 548980 740360 1097960 2278267 4556534 6121127 9113068 11391335 12242254 18226136 22782670 24484508 30605635 45565340 48969016 61211270 91130680 122422540 244845080 508053541 1016107082 2032214164 2540267705 4064428328 5080535410 10161070820 20322141640