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20681953092 = 22321755216121
BaseRepresentation
bin10011010000101111…
…011000111101000100
31222101100202002000200
4103100233120331010
5314324034444332
613300130010500
71331342462223
oct232057307504
958340662020
1020681953092
118853472519
124012416a30
131c47a68888
141002ac2cba
15810a7617c
hex4d0bd8f44

20681953092 has 72 divisors (see below), whose sum is σ = 55373710392. Its totient is φ = 6486220800.

The previous prime is 20681953091. The next prime is 20681953099. The reversal of 20681953092 is 29035918602.

20681953092 is a `hidden beast` number, since 20 + 6 + 8 + 1 + 9 + 530 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 875331396 + 19806621696 = 29586^2 + 140736^2 .

It is not an unprimeable number, because it can be changed into a prime (20681953091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3375792 + ... + 3381912.

It is an arithmetic number, because the mean of its divisors is an integer number (769079311).

Almost surely, 220681953092 is an apocalyptic number.

It is an amenable number.

20681953092 is an abundant number, since it is smaller than the sum of its proper divisors (34691757300).

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

20681953092 is a wasteful number, since it uses less digits than its factorization.

20681953092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11669 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 20681953092 in words is "twenty billion, six hundred eighty-one million, nine hundred fifty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 5521 6121 11042 12242 16563 18363 22084 24484 33126 36726 49689 55089 66252 73452 93857 99378 104057 110178 187714 198756 208114 220356 281571 312171 375428 416228 563142 624342 844713 936513 1126284 1248684 1689426 1873026 3378852 3746052 33794041 67588082 101382123 135176164 202764246 304146369 405528492 574498697 608292738 1148997394 1216585476 1723496091 2297994788 3446992182 5170488273 6893984364 10340976546 20681953092