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20444447968 = 257218317121
BaseRepresentation
bin10011000010100101…
…011000010011100000
31221202210211120020121
4103002211120103200
5313332234313333
613220403250024
71322426640400
oct230245302340
957683746217
1020444447968
1187413a339a
123b66979914
131c0a7ac4b9
14dbd33a800
157e9cae32d
hex4c29584e0

20444447968 has 72 divisors (see below), whose sum is σ = 46853586864. Its totient is φ = 8755891200.

The previous prime is 20444447923. The next prime is 20444447981. The reversal of 20444447968 is 86974444402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2867448 + ... + 2874568.

It is an arithmetic number, because the mean of its divisors is an integer number (650744262).

Almost surely, 220444447968 is an apocalyptic number.

20444447968 is a gapful number since it is divisible by the number (28) 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 20444447968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426793432).

20444447968 is an abundant number, since it is smaller than the sum of its proper divisors (26409138896).

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

20444447968 is a wasteful number, since it uses less digits than its factorization.

20444447968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 52.

The spelling of 20444447968 in words is "twenty billion, four hundred forty-four million, four hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 1831 3662 7121 7324 12817 14242 14648 25634 28484 29296 49847 51268 56968 58592 89719 99694 102536 113936 179438 199388 205072 227872 348929 358876 398776 410144 697858 717752 797552 1395716 1435504 1595104 2791432 2871008 5582864 11165728 13038551 26077102 52154204 91269857 104308408 182539714 208616816 365079428 417233632 638888999 730158856 1277777998 1460317712 2555555996 2920635424 5111111992 10222223984 20444447968