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11832348200 = 2352353167597
BaseRepresentation
bin10110000010100001…
…10100111000101000
31010112121122120022112
423001100310320220
5143213040120300
65234040141452
7566134204661
oct130120647050
933477576275
1011832348200
115022063372
122362767888
1311674c528a
1480365a368
15493ba5e35
hex2c1434e28

11832348200 has 48 divisors (see below), whose sum is σ = 27588306780. Its totient is φ = 4719503360.

The previous prime is 11832348169. The next prime is 11832348223. The reversal of 11832348200 is 284323811.

It can be written as a sum of positive squares in 6 ways, for example, as 2137582756 + 9694765444 = 46234^2 + 98462^2 .

It is an unprimeable number.

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, 13199 + ... + 154398.

Almost surely, 211832348200 is an apocalyptic number.

11832348200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11832348200 is an abundant number, since it is smaller than the sum of its proper divisors (15755958580).

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

11832348200 is a wasteful number, since it uses less digits than its factorization.

11832348200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167966 (or 167957 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 11832348200 in words is "eleven billion, eight hundred thirty-two million, three hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 353 706 1412 1765 2824 3530 7060 8825 14120 17650 35300 70600 167597 335194 670388 837985 1340776 1675970 3351940 4189925 6703880 8379850 16759700 33519400 59161741 118323482 236646964 295808705 473293928 591617410 1183234820 1479043525 2366469640 2958087050 5916174100 11832348200