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20306545506 = 23313210122031
BaseRepresentation
bin10010111010010111…
…010100101101100010
31221102012100101122000
4102322113110231202
5313041433424011
613154555424430
71316133534402
oct227227245542
957365311560
1020306545506
118680574215
123b28755116
131bb8057b00
14da8cc0802
157dcb1e356
hex4ba5d4b62

20306545506 has 96 divisors (see below), whose sum is σ = 49349917440. Its totient is φ = 6186024000.

The previous prime is 20306545487. The next prime is 20306545513. The reversal of 20306545506 is 60554560302.

It is a happy number.

20306545506 is a `hidden beast` number, since 20 + 30 + 6 + 54 + 550 + 6 = 666.

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, 910711 + ... + 932741.

It is an arithmetic number, because the mean of its divisors is an integer number (514061640).

Almost surely, 220306545506 is an apocalyptic number.

20306545506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20306545506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24674958720).

20306545506 is an abundant number, since it is smaller than the sum of its proper divisors (29043371934).

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

20306545506 is a wasteful number, since it uses less digits than its factorization.

20306545506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22169 (or 22150 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 20306545506 in words is "twenty billion, three hundred six million, five hundred forty-five thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 169 202 234 303 338 351 507 606 702 909 1014 1313 1521 1818 2626 2727 3042 3939 4563 5454 7878 9126 11817 17069 22031 23634 34138 35451 44062 51207 66093 70902 102414 132186 153621 198279 286403 307242 396558 460863 572806 594837 859209 921726 1189674 1718418 2225131 2577627 3723239 4450262 5155254 6675393 7446478 7732881 11169717 13350786 15465762 20026179 22339434 28926703 33509151 40052358 57853406 60078537 67018302 86780109 100527453 120157074 173560218 201054906 260340327 376047139 520680654 752094278 781020981 1128141417 1562041962 2256282834 3384424251 6768848502 10153272753 20306545506