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20295029556 = 223217180118413
BaseRepresentation
bin10010111001101011…
…011001001100110100
31221101101200022201100
4102321223121030310
5313031011421211
613153504530100
71315633622244
oct227153311464
957341608640
1020295029556
1186750190aa
123b24920930
131bb5855239
14da7563b24
157dbae7156
hex4b9ad9334

20295029556 has 72 divisors (see below), whose sum is σ = 54352161864. Its totient is φ = 6363187200.

The previous prime is 20295029543. The next prime is 20295029597. The reversal of 20295029556 is 65592059202.

20295029556 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 502 + 95 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 868245156 + 19426784400 = 29466^2 + 139380^2 .

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 23 ways as a sum of consecutive naturals, for example, 1093006 + ... + 1111418.

It is an arithmetic number, because the mean of its divisors is an integer number (754891137).

Almost surely, 220295029556 is an apocalyptic number.

It is an amenable number.

20295029556 is an abundant number, since it is smaller than the sum of its proper divisors (34057132308).

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

20295029556 is a wasteful number, since it uses less digits than its factorization.

20295029556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20241 (or 20236 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 20295029556 in words is "twenty billion, two hundred ninety-five million, twenty-nine thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1801 3602 5403 7204 10806 16209 18413 21612 30617 32418 36826 55239 61234 64836 73652 91851 110478 122468 165717 183702 220956 275553 313021 331434 367404 551106 626042 662868 939063 1102212 1252084 1878126 2817189 3756252 5634378 11268756 33161813 66323626 99485439 132647252 198970878 298456317 397941756 563750821 596912634 1127501642 1193825268 1691252463 2255003284 3382504926 5073757389 6765009852 10147514778 20295029556