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10042150400 = 2952784543
BaseRepresentation
bin10010101101000111…
…10000111000000000
3221220212002002121022
421112203300320000
5131031242303100
64340250045012
7503565604262
oct112643607000
927825062538
1010042150400
114293594257
121b43119768
13c40657a39
146b39b5b32
153db936e85
hex2568f0e00

10042150400 has 60 divisors (see below), whose sum is σ = 24880243872. Its totient is φ = 4016855040.

The previous prime is 10042150399. The next prime is 10042150403. The reversal of 10042150400 is 405124001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042150403) 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 5 ways as a sum of consecutive naturals, for example, 379472 + ... + 405071.

Almost surely, 210042150400 is an apocalyptic number.

10042150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042150400 is an abundant number, since it is smaller than the sum of its proper divisors (14838093472).

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

10042150400 is an frugal number, since it uses more digits than its factorization.

10042150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784571 (or 784550 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 10042150400 its reverse (405124001), we get a palindrome (10447274401).

The spelling of 10042150400 in words is "ten billion, forty-two million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 784543 1569086 3138172 3922715 6276344 7845430 12552688 15690860 19613575 25105376 31381720 39227150 50210752 62763440 78454300 100421504 125526880 156908600 200843008 251053760 313817200 401686016 502107520 627634400 1004215040 1255268800 2008430080 2510537600 5021075200 10042150400