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11918953700 = 2252661180317
BaseRepresentation
bin10110001100110110…
…01100110011100100
31010202122121120201122
423012123030303210
5143402223004300
65250412313112
7601235302103
oct130633146344
933678546648
1011918953700
115066a36365
122387772798
13117c429134
14810d6203a
1549b5b1c85
hex2c66ccce4

11918953700 has 36 divisors (see below), whose sum is σ = 25903401972. Its totient is φ = 4760342400.

The previous prime is 11918953643. The next prime is 11918953703. The reversal of 11918953700 is 735981911.

11918953700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 841812196 + 11077141504 = 29014^2 + 105248^2 .

It is a super-2 number, since 2×119189537002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11918953703) 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, 24059 + ... + 156258.

Almost surely, 211918953700 is an apocalyptic number.

11918953700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11918953700 is an abundant number, since it is smaller than the sum of its proper divisors (13984448272).

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

11918953700 is a wasteful number, since it uses less digits than its factorization.

11918953700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180992 (or 180985 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 44.

The spelling of 11918953700 in words is "eleven billion, nine hundred eighteen million, nine hundred fifty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 661 1322 2644 3305 6610 13220 16525 33050 66100 180317 360634 721268 901585 1803170 3606340 4507925 9015850 18031700 119189537 238379074 476758148 595947685 1191895370 2383790740 2979738425 5959476850 11918953700