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11820420400 = 245253557567
BaseRepresentation
bin10110000001000110…
…10100110100110000
31010111210012120110011
423000203110310300
5143202011423100
65232532344304
7565630626025
oct130043246460
933453176404
1011820420400
115016356888
12235a775094
131164baa0c9
14801c3354c
15492aebbba
hex2c08d4d30

11820420400 has 60 divisors (see below), whose sum is σ = 28934433792. Its totient is φ = 4638949120.

The previous prime is 11820420379. The next prime is 11820420407. The reversal of 11820420400 is 402402811.

It is not an unprimeable number, because it can be changed into a prime (11820420407) 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, 257584 + ... + 299983.

Almost surely, 211820420400 is an apocalyptic number.

11820420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11820420400 is an abundant number, since it is smaller than the sum of its proper divisors (17114013392).

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

11820420400 is a wasteful number, since it uses less digits than its factorization.

11820420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557638 (or 557627 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The spelling of 11820420400 in words is "eleven billion, eight hundred twenty million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 557567 1115134 2230268 2787835 4460536 5575670 8921072 11151340 13939175 22302680 27878350 29551051 44605360 55756700 59102102 111513400 118204204 147755255 223026800 236408408 295510510 472816816 591021020 738776275 1182042040 1477552550 2364084080 2955105100 5910210200 11820420400