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11753643640 = 235293841091
BaseRepresentation
bin10101111001001001…
…00101111001111000
31010100010112221221211
422330210211321320
5143032413044030
65222145212504
7564160215424
oct127444457170
933303487854
1011753643640
114a91697482
122340331134
1311540c972b
147d700db84
1548bd0b12a
hex2bc925e78

11753643640 has 16 divisors (see below), whose sum is σ = 26445698280. Its totient is φ = 4701457440.

The previous prime is 11753643623. The next prime is 11753643647. The reversal of 11753643640 is 4634635711.

It is a super-2 number, since 2×117536436402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 293841091 = 11753643640 / (1 + 1 + 7 + 5 + 3 + 6 + 4 + 3 + 6 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 11753643593 and 11753643602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11753643647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146920506 + ... + 146920585.

Almost surely, 211753643640 is an apocalyptic number.

11753643640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11753643640 is an abundant number, since it is smaller than the sum of its proper divisors (14692054640).

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

11753643640 is a wasteful number, since it uses less digits than its factorization.

11753643640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293841102 (or 293841098 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 11753643640 in words is "eleven billion, seven hundred fifty-three million, six hundred forty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 293841091 587682182 1175364364 1469205455 2350728728 2938410910 5876821820 11753643640