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20904333264 = 24321093132817
BaseRepresentation
bin10011011101111111…
…101100111111010000
31222221212012011021100
4103131333230333100
5320303002131024
613334152224400
71340012621013
oct233577547720
958855164240
1020904333264
118957a50a91
12407499b100
131c81b5a789
14102444d37a
158253517c9
hex4ddfecfd0

20904333264 has 60 divisors (see below), whose sum is σ = 58557065476. Its totient is φ = 6961683456.

The previous prime is 20904333257. The next prime is 20904333269. The reversal of 20904333264 is 46233340902.

It can be written as a sum of positive squares in 2 ways, for example, as 13354113600 + 7550219664 = 115560^2 + 86892^2 .

It is a super-2 number, since 2×209043332642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20904333269) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 90984 + ... + 223800.

Almost surely, 220904333264 is an apocalyptic number.

20904333264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20904333264 is an abundant number, since it is smaller than the sum of its proper divisors (37652732212).

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

20904333264 is a wasteful number, since it uses less digits than its factorization.

20904333264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133924 (or 133915 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 20904333264 in words is "twenty billion, nine hundred four million, three hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1093 2186 3279 4372 6558 8744 9837 13116 17488 19674 26232 39348 52464 78696 132817 157392 265634 398451 531268 796902 1062536 1195353 1593804 2125072 2390706 3187608 4781412 6375216 9562824 19125648 145168981 290337962 435506943 580675924 871013886 1161351848 1306520829 1742027772 2322703696 2613041658 3484055544 5226083316 6968111088 10452166632 20904333264