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10021563396 = 2232131031271637
BaseRepresentation
bin10010101010101010…
…01110110000000100
3221212102100011112200
421111111032300010
5131011010012041
64334232514500
7503225611665
oct112525166004
927772304480
1010021563396
114282a029a9
121b3824ba30
13c392ca390
146b0d7736c
153d9c1c1b6
hex25554ec04

10021563396 has 144 divisors (see below), whose sum is σ = 27779641344. Its totient is φ = 3027725568.

The previous prime is 10021563389. The next prime is 10021563521. The reversal of 10021563396 is 69336512001.

10021563396 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 563 + 3 + 96 = 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 10021563396.

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, 6121090 + ... + 6122726.

It is an arithmetic number, because the mean of its divisors is an integer number (192914176).

Almost surely, 210021563396 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 10021563396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889820672).

10021563396 is an abundant number, since it is smaller than the sum of its proper divisors (17758077948).

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

10021563396 is a wasteful number, since it uses less digits than its factorization.

10021563396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 10021563396 in words is "ten billion, twenty-one million, five hundred sixty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 127 156 206 234 254 309 381 412 468 508 618 762 927 1143 1236 1339 1524 1637 1651 1854 2286 2678 3274 3302 3708 4017 4572 4911 4953 5356 6548 6604 8034 9822 9906 12051 13081 14733 14859 16068 19644 19812 21281 24102 26162 29466 29718 39243 42562 48204 52324 58932 59436 63843 78486 85124 117729 127686 156972 168611 170053 191529 207899 235458 255372 337222 340106 383058 415798 470916 505833 510159 623697 674444 680212 766116 831596 1011666 1020318 1247394 1517499 1530477 1871091 2023332 2040636 2191943 2494788 2702687 3034998 3060954 3742182 4383886 5405374 6069996 6121908 6575829 7484364 8108061 8767772 10810748 13151658 16216122 19727487 21413597 24324183 26303316 32432244 39454974 42827194 48648366 64240791 78909948 85654388 97296732 128481582 192722373 256963164 278376761 385444746 556753522 770889492 835130283 1113507044 1670260566 2505390849 3340521132 5010781698 10021563396