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20386233216 = 273234575119
BaseRepresentation
bin10010111111000111…
…010011101110000000
31221121202021221121200
4102333013103232000
5313222333430331
613210523421200
71321122060156
oct227707235600
957552257550
1020386233216
118711551828
123b4b384800
131bcb708cbb
14db57053d6
157e4b105e6
hex4bf1d3b80

20386233216 has 96 divisors (see below), whose sum is σ = 58691942400. Its totient is φ = 6792118272.

The previous prime is 20386233199. The next prime is 20386233227. The reversal of 20386233216 is 61233268302.

It is a happy number.

20386233216 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 623 + 3 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 3979905 + ... + 3985023.

It is an arithmetic number, because the mean of its divisors is an integer number (611374400).

Almost surely, 220386233216 is an apocalyptic number.

It is an amenable number.

20386233216 is an abundant number, since it is smaller than the sum of its proper divisors (38305709184).

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

20386233216 is a wasteful number, since it uses less digits than its factorization.

20386233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8596 (or 8581 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20386233216 in words is "twenty billion, three hundred eighty-six million, two hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3457 5119 6914 10238 10371 13828 15357 20476 20742 27656 30714 31113 40952 41484 46071 55312 61428 62226 81904 82968 92142 110624 122856 124452 163808 165936 184284 221248 245712 248904 327616 331872 368568 442496 491424 497808 655232 663744 737136 982848 995616 1327488 1474272 1965696 1991232 2948544 3982464 5897088 17696383 35392766 53089149 70785532 106178298 141571064 159267447 212356596 283142128 318534894 424713192 566284256 637069788 849426384 1132568512 1274139576 1698852768 2265137024 2548279152 3397705536 5096558304 6795411072 10193116608 20386233216