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20156080032 = 2532116362399
BaseRepresentation
bin10010110001011001…
…010101111110100000
31221000201012221210200
4102301121111332200
5312234424030112
613132022425200
71312325565504
oct226131257640
957021187720
1020156080032
118603644290
123aa6292200
131b92b2509a
14d92d14304
157ce7ebcdc
hex4b1655fa0

20156080032 has 72 divisors (see below), whose sum is σ = 62529667200. Its totient is φ = 6107902080.

The previous prime is 20156080027. The next prime is 20156080051. The reversal of 20156080032 is 23008065102.

20156080032 is a `hidden beast` number, since 20 + 1 + 5 + 608 + 0 + 0 + 32 = 666.

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

It is a super-3 number, since 3×201560800323 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20156079978 and 20156080005.

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, 3178032 + ... + 3184367.

It is an arithmetic number, because the mean of its divisors is an integer number (868467600).

Almost surely, 220156080032 is an apocalyptic number.

20156080032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20156080032 is an abundant number, since it is smaller than the sum of its proper divisors (42373587168).

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

20156080032 is a wasteful number, since it uses less digits than its factorization.

20156080032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362426 (or 6362415 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20156080032 in words is "twenty billion, one hundred fifty-six million, eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 6362399 12724798 19087197 25449596 38174394 50899192 57261591 69986389 76348788 101798384 114523182 139972778 152697576 203596768 209959167 229046364 279945556 305395152 419918334 458092728 559891112 610790304 629877501 839836668 916185456 1119782224 1259755002 1679673336 1832370912 2239564448 2519510004 3359346672 5039020008 6718693344 10078040016 20156080032