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55145424400 = 24521112533051
BaseRepresentation
bin110011010110111011…
…000110011000010000
312021100011211210221221
4303112323012120100
51400414212040100
641200005454424
73661361242033
oct632673063020
9167304753857
1055145424400
1121429177610
12a830111414
13527aa87951
142951c4901a
15167b47501a
hexcd6ec6610

55145424400 has 60 divisors (see below), whose sum is σ = 144531155664. Its totient is φ = 20052880000.

The previous prime is 55145424377. The next prime is 55145424403. The reversal of 55145424400 is 442454155.

It is a super-2 number, since 2×551454244002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55145424403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6262126 + ... + 6270925.

Almost surely, 255145424400 is an apocalyptic number.

55145424400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55145424400 is an abundant number, since it is smaller than the sum of its proper divisors (89385731264).

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

55145424400 is a wasteful number, since it uses less digits than its factorization.

55145424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533080 (or 12533069 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

Adding to 55145424400 its reverse (442454155), we get a palindrome (55587878555).

The spelling of 55145424400 in words is "fifty-five billion, one hundred forty-five million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 12533051 25066102 50132204 62665255 100264408 125330510 137863561 200528816 250661020 275727122 313326275 501322040 551454244 626652550 689317805 1002644080 1102908488 1253305100 1378635610 2205816976 2506610200 2757271220 3446589025 5013220400 5514542440 6893178050 11029084880 13786356100 27572712200 55145424400