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20530934400 = 273523975387
BaseRepresentation
bin10011000111101111…
…010011001010000000
31221222211120112022210
4103013233103022000
5314021404400100
613233133102120
71324530030414
oct230757231200
957884515283
1020530934400
1187861a4989
123b8b927940
131c226a10c2
14dcaa10d44
15802694c50
hex4c7bd3280

20530934400 has 192 divisors, whose sum is σ = 67806686880. Its totient is φ = 5460111360.

The previous prime is 20530934399. The next prime is 20530934407. The reversal of 20530934400 is 443903502.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20530934407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3808507 + ... + 3813893.

Almost surely, 220530934400 is an apocalyptic number.

20530934400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20530934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33903343440).

20530934400 is an abundant number, since it is smaller than the sum of its proper divisors (47275752480).

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

20530934400 is a wasteful number, since it uses less digits than its factorization.

20530934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 20530934400 in words is "twenty billion, five hundred thirty million, nine hundred thirty-four thousand, four hundred".