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20345435365216 = 2513157311511443
BaseRepresentation
bin1001010000001000010100…
…11100101001111101100000
32200001000010101001020021011
410220010022130221331200
510131314422423141331
6111134321452510304
74166623566130003
oct450041234517540
980030111036234
1020345435365216
1165344a594a745
1223470b917b394
13b47749298120
14504a1d79b53a
152543712d03b1
hex12810a729f60

20345435365216 has 48 divisors (see below), whose sum is σ = 43410988790064. Its totient is φ = 9330390710784.

The previous prime is 20345435365187. The next prime is 20345435365243. The reversal of 20345435365216 is 61256353454302.

It is a super-2 number, since 2×203454353652162 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20345435365216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155690410 + ... + 155821033.

It is an arithmetic number, because the mean of its divisors is an integer number (904395599793).

Almost surely, 220345435365216 is an apocalyptic number.

20345435365216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20345435365216 is an abundant number, since it is smaller than the sum of its proper divisors (23065553424848).

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

20345435365216 is a wasteful number, since it uses less digits than its factorization.

20345435365216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311511623 (or 311511615 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 49.

The spelling of 20345435365216 in words is "twenty trillion, three hundred forty-five billion, four hundred thirty-five million, three hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 157 208 314 416 628 1256 2041 2512 4082 5024 8164 16328 32656 65312 311511443 623022886 1246045772 2492091544 4049648759 4984183088 8099297518 9968366176 16198595036 32397190072 48907296551 64794380144 97814593102 129588760288 195629186204 391258372408 635794855163 782516744816 1271589710326 1565033489632 2543179420652 5086358841304 10172717682608 20345435365216