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20368520352 = 2532174160237
BaseRepresentation
bin10010111110000011…
…101111010010100000
31221120111222001010200
4102332003233102200
5313203320122402
613205052025200
71320515365155
oct227603572240
957514861120
1020368520352
1187025538a4
123b45462200
131bc7b4690b
14db321422c
157e32b221c
hex4be0ef4a0

20368520352 has 72 divisors (see below), whose sum is σ = 61330228596. Its totient is φ = 6390122496.

The previous prime is 20368520329. The next prime is 20368520363. The reversal of 20368520352 is 25302586302.

20368520352 is a `hidden beast` number, since 20 + 3 + 68 + 520 + 3 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19253227536 + 1115292816 = 138756^2 + 33396^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 11 ways as a sum of consecutive naturals, for example, 2075223 + ... + 2085014.

Almost surely, 220368520352 is an apocalyptic number.

It is an amenable number.

20368520352 is an abundant number, since it is smaller than the sum of its proper divisors (40961708244).

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

20368520352 is a wasteful number, since it uses less digits than its factorization.

20368520352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160270 (or 4160259 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20368520352 in words is "twenty billion, three hundred sixty-eight million, five hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 4160237 8320474 12480711 16640948 24961422 33281896 37442133 49922844 66563792 70724029 74884266 99845688 133127584 141448058 149768532 199691376 212172087 282896116 299537064 399382752 424344174 565792232 599074128 636516261 848688348 1131584464 1198148256 1273032522 1697376696 2263168928 2546065044 3394753392 5092130088 6789506784 10184260176 20368520352