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20261522106 = 23274119919709
BaseRepresentation
bin10010110111101011…
…100100101010111010
31221022001121222010200
4102313223210222322
5312443422201411
613150310423030
71315046045010
oct226753445272
957261558120
1020261522106
1186581124a1
123b15661a76
131bab922947
14da2d208b0
157d8bc8e56
hex4b7ae4aba

20261522106 has 96 divisors (see below), whose sum is σ = 51655968000. Its totient is φ = 5619144960.

The previous prime is 20261521957. The next prime is 20261522129. The reversal of 20261522106 is 60122516202.

20261522106 is a `hidden beast` number, since 20 + 2 + 615 + 2 + 21 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20261522106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018180 + ... + 1037888.

It is an arithmetic number, because the mean of its divisors is an integer number (538083000).

Almost surely, 220261522106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20261522106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25827984000).

20261522106 is an abundant number, since it is smaller than the sum of its proper divisors (31394445894).

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

20261522106 is a wasteful number, since it uses less digits than its factorization.

20261522106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19964 (or 19961 counting only the distinct ones).

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

The spelling of 20261522106 in words is "twenty billion, two hundred sixty-one million, five hundred twenty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 199 246 287 369 398 574 597 738 861 1194 1393 1722 1791 2583 2786 3582 4179 5166 8159 8358 12537 16318 19709 24477 25074 39418 48954 57113 59127 73431 114226 118254 137963 146862 171339 177381 275926 342678 354762 413889 514017 808069 827778 1028034 1241667 1616138 2424207 2483334 3922091 4848414 5656483 7272621 7844182 11312966 11766273 14545242 16969449 23532546 27454637 33938898 35298819 50908347 54909274 70597638 82363911 101816694 160805731 164727822 247091733 321611462 482417193 494183466 964834386 1125640117 1447251579 2251280234 2894503158 3376920351 6753840702 10130761053 20261522106