Search a number
-
+
20393690616 = 23321332716661
BaseRepresentation
bin10010111111100011…
…110000010111111000
31221122021022211020200
4102333203300113320
5313231241044431
613211351322200
71321242336645
oct227743602770
957567284220
1020393690616
118715785672
123b51980360
131c0011a470
14db66c6dcc
157e55d4ee6
hex4bf8f05f8

20393690616 has 96 divisors (see below), whose sum is σ = 59508714720. Its totient is φ = 6272121600.

The previous prime is 20393690579. The next prime is 20393690621. The reversal of 20393690616 is 61609639302.

It is a happy number.

20393690616 is a `hidden beast` number, since 20 + 3 + 9 + 3 + 6 + 9 + 0 + 616 = 666.

It is a super-2 number, since 2×203936906162 (a number of 21 digits) contains 22 as substring.

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, 3058326 + ... + 3064986.

It is an arithmetic number, because the mean of its divisors is an integer number (619882445).

Almost surely, 220393690616 is an apocalyptic number.

20393690616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20393690616 is an abundant number, since it is smaller than the sum of its proper divisors (39115024104).

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

20393690616 is a wasteful number, since it uses less digits than its factorization.

20393690616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9957 (or 9950 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 20393690616 in words is "twenty billion, three hundred ninety-three million, six hundred ninety thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3271 6542 6661 9813 13084 13322 19626 19983 26168 26644 29439 39252 39966 42523 53288 58878 59949 78504 79932 85046 86593 117756 119898 127569 159864 170092 173186 235512 239796 255138 259779 340184 346372 382707 479592 510276 519558 692744 765414 779337 1020552 1039116 1530828 1558674 2078232 3061656 3117348 6234696 21788131 43576262 65364393 87152524 130728786 174305048 196093179 261457572 283245703 392186358 522915144 566491406 784372716 849737109 1132982812 1568745432 1699474218 2265965624 2549211327 3398948436 5098422654 6797896872 10196845308 20393690616