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11852150640 = 24351131971493
BaseRepresentation
bin10110000100111000…
…10111011101110000
31010120222220122011020
423002130113131300
5143233122310030
65240024415440
7566464422021
oct130234273560
933528818136
1011852150640
115032259220
122369317580
13116b6397b5
14806132c48
154957b8510
hex2c2717770

11852150640 has 320 divisors, whose sum is σ = 41829322752. Its totient is φ = 2750054400.

The previous prime is 11852150603. The next prime is 11852150647. The reversal of 11852150640 is 4605125811.

11852150640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11852150647) 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 63 ways as a sum of consecutive naturals, for example, 7937734 + ... + 7939226.

Almost surely, 211852150640 is an apocalyptic number.

11852150640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11852150640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20914661376).

11852150640 is an abundant number, since it is smaller than the sum of its proper divisors (29977172112).

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

11852150640 is a wasteful number, since it uses less digits than its factorization.

11852150640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 11852150640 in words is "eleven billion, eight hundred fifty-two million, one hundred fifty thousand, six hundred forty".