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20005554400 = 2552131923611
BaseRepresentation
bin10010101000011011…
…001000100011100000
31220122012222110110021
4102220123020203200
5311432410220100
613105044243224
71305520256326
oct225033104340
956565873407
1020005554400
118536683137
123a639a0514
131b6a8a0b70
14d7ad2dd16
157c14b6a1a
hex4a86c88e0

20005554400 has 72 divisors (see below), whose sum is σ = 52595399304. Its totient is φ = 7386662400.

The previous prime is 20005554397. The next prime is 20005554407. The reversal of 20005554400 is 445550002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005554407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 951406 + ... + 972205.

It is an arithmetic number, because the mean of its divisors is an integer number (730491657).

Almost surely, 220005554400 is an apocalyptic number.

20005554400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20005554400 is an abundant number, since it is smaller than the sum of its proper divisors (32589844904).

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

20005554400 is a wasteful number, since it uses less digits than its factorization.

20005554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923644 (or 1923631 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The spelling of 20005554400 in words is "twenty billion, five million, five hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 1923611 3847222 7694444 9618055 15388888 19236110 25006943 30777776 38472220 48090275 50013886 61555552 76944440 96180550 100027772 125034715 153888880 192361100 200055544 250069430 307777760 384722200 400111088 500138860 625173575 769444400 800222176 1000277720 1250347150 1538888800 2000555440 2500694300 4001110880 5001388600 10002777200 20005554400