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10040402052 = 2232278900057
BaseRepresentation
bin10010101100111010…
…00110000010000100
3221220201210021022200
421112131012002010
5131030320331202
64340144354500
7503545003122
oct112635060204
927821707280
1010040402052
1142925aa73a
121b42615a30
13c40195005
146b367c912
153db6dde1c
hex256746084

10040402052 has 18 divisors (see below), whose sum is σ = 25379905278. Its totient is φ = 3346800672.

The previous prime is 10040402041. The next prime is 10040402077. The reversal of 10040402052 is 25020404001.

It can be written as a sum of positive squares in only one way, i.e., 10035230976 + 5171076 = 100176^2 + 2274^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139449993 + ... + 139450064.

Almost surely, 210040402052 is an apocalyptic number.

10040402052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10040402052 is an abundant number, since it is smaller than the sum of its proper divisors (15339503226).

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

10040402052 is a wasteful number, since it uses less digits than its factorization.

10040402052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278900067 (or 278900062 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 10040402052 its reverse (25020404001), we get a palindrome (35060806053).

The spelling of 10040402052 in words is "ten billion, forty million, four hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 278900057 557800114 836700171 1115600228 1673400342 2510100513 3346800684 5020201026 10040402052