Search a number
-
+
20310345504 = 253270522033
BaseRepresentation
bin10010111010100101…
…110100011100100000
31221102110111110020200
4102322211310130200
5313043422024004
613155213105200
71316211042201
oct227245643440
957373443220
1020310345504
11868272a209
123b29a88200
131bb8a88627
14da95cd5a8
157dd120239
hex4ba974720

20310345504 has 36 divisors (see below), whose sum is σ = 57757545846. Its totient is φ = 6770115072.

The previous prime is 20310345479. The next prime is 20310345511. The reversal of 20310345504 is 40554301302.

20310345504 is a `hidden beast` number, since 2 + 0 + 3 + 103 + 4 + 550 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11739289104 + 8571056400 = 108348^2 + 92580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35260729 + ... + 35261304.

Almost surely, 220310345504 is an apocalyptic number.

20310345504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20310345504 is an abundant number, since it is smaller than the sum of its proper divisors (37447200342).

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

20310345504 is a wasteful number, since it uses less digits than its factorization.

20310345504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70522049 (or 70522038 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 20310345504 its reverse (40554301302), we get a palindrome (60864646806).

The spelling of 20310345504 in words is "twenty billion, three hundred ten million, three hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 70522033 141044066 211566099 282088132 423132198 564176264 634698297 846264396 1128352528 1269396594 1692528792 2256705056 2538793188 3385057584 5077586376 6770115168 10155172752 20310345504