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20465234784 = 2532312292253
BaseRepresentation
bin10011000011110100…
…101011001101100000
31221211020221122101200
4103003310223031200
5313403100003114
613222425001200
71323101424351
oct230364531540
957736848350
1020465234784
118752100885
123b71923200
131c11ba9aa7
14dc1dcbd28
157eba18409
hex4c3d2b360

20465234784 has 72 divisors (see below), whose sum is σ = 60075392832. Its totient is φ = 6601685760.

The previous prime is 20465234767. The next prime is 20465234807. The reversal of 20465234784 is 48743256402.

It is a happy number.

20465234784 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 523 + 47 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1137199 + ... + 1155054.

It is an arithmetic number, because the mean of its divisors is an integer number (834380456).

Almost surely, 220465234784 is an apocalyptic number.

20465234784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20465234784 is an abundant number, since it is smaller than the sum of its proper divisors (39610158048).

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

20465234784 is a wasteful number, since it uses less digits than its factorization.

20465234784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292300 (or 2292289 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 20465234784 in words is "twenty billion, four hundred sixty-five million, two hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 2292253 4584506 6876759 9169012 13753518 18338024 20630277 27507036 36676048 41260554 55014072 71059843 73352096 82521108 110028144 142119686 165042216 213179529 220056288 284239372 330084432 426359058 568478744 639538587 660168864 852718116 1136957488 1279077174 1705436232 2273914976 2558154348 3410872464 5116308696 6821744928 10232617392 20465234784