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20840702256 = 24321173180233
BaseRepresentation
bin10011011010001100…
…111110000100110000
31222210102110100221100
4103122030332010300
5320140204433011
613324000324400
71335311021613
oct233214760460
958712410840
1020840702256
118925040080
124057613700
131c7190bbaa
141019c0817a
1581e982d56
hex4da33e130

20840702256 has 120 divisors (see below), whose sum is σ = 64499260176. Its totient is φ = 6228817920.

The previous prime is 20840702191. The next prime is 20840702257. The reversal of 20840702256 is 65220704802.

20840702256 is a `hidden beast` number, since 20 + 8 + 407 + 0 + 225 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20840702256.

It is not an unprimeable number, because it can be changed into a prime (20840702257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25516 + ... + 205748.

Almost surely, 220840702256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20840702256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32249630088).

20840702256 is an abundant number, since it is smaller than the sum of its proper divisors (43658557920).

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

20840702256 is a wasteful number, since it uses less digits than its factorization.

20840702256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180331 (or 180322 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20840702256 in words is "twenty billion, eight hundred forty million, seven hundred two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 73 88 99 132 144 146 176 198 219 264 292 396 438 528 584 657 792 803 876 1168 1314 1584 1606 1752 2409 2628 3212 3504 4818 5256 6424 7227 9636 10512 12848 14454 19272 28908 38544 57816 115632 180233 360466 540699 720932 1081398 1441864 1622097 1982563 2162796 2883728 3244194 3965126 4325592 5947689 6488388 7930252 8651184 11895378 12976776 13157009 15860504 17843067 23790756 25953552 26314018 31721008 35686134 39471027 47581512 52628036 71372268 78942054 95163024 105256072 118413081 142744536 144727099 157884108 210512144 236826162 285489072 289454198 315768216 434181297 473652324 578908396 631536432 868362594 947304648 1157816792 1302543891 1736725188 1894609296 2315633584 2605087782 3473450376 5210175564 6946900752 10420351128 20840702256