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11752848328 = 23132979107461
BaseRepresentation
bin10101111001000011…
…00011101111001000
31010100002001112222211
422330201203233020
5143032212121303
65222120154504
7564150363634
oct127441435710
933302045884
1011752848328
114a911a39a1
122340008a34
131153bab730
147d6c83dc4
1548bc0066d
hex2bc863bc8

11752848328 has 128 divisors (see below), whose sum is σ = 25147584000. Its totient is φ = 5111608320.

The previous prime is 11752848311. The next prime is 11752848329. The reversal of 11752848328 is 82384825711.

It is a happy number.

11752848328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11752848329) 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 31 ways as a sum of consecutive naturals, for example, 25494018 + ... + 25494478.

It is an arithmetic number, because the mean of its divisors is an integer number (196465500).

Almost surely, 211752848328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11752848328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573792000).

11752848328 is an abundant number, since it is smaller than the sum of its proper divisors (13394735672).

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

11752848328 is a wasteful number, since it uses less digits than its factorization.

11752848328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 691 counting only the distinct ones).

The product of its digits is 860160, while the sum is 49.

The spelling of 11752848328 in words is "eleven billion, seven hundred fifty-two million, eight hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 29 52 58 79 104 107 116 158 214 232 316 377 428 461 632 754 856 922 1027 1391 1508 1844 2054 2291 2782 3016 3103 3688 4108 4582 5564 5993 6206 8216 8453 9164 11128 11986 12412 13369 16906 18328 23972 24824 26738 29783 33812 36419 40339 47944 49327 53476 59566 67624 72838 80678 98654 106952 109889 119132 145676 161356 173797 197308 219778 238264 245137 291352 322712 347594 394616 439556 473447 490274 641251 695188 879112 946894 980548 1056151 1282502 1390376 1430483 1893788 1961096 2112302 2565004 2860966 3186781 3787576 3896833 4224604 5130008 5721932 6373562 7793666 8449208 11443864 12747124 13729963 15587332 18596279 25494248 27459926 31174664 37192558 50658829 54919852 74385116 101317658 109839704 113008157 148770232 202635316 226016314 405270632 452032628 904065256 1469106041 2938212082 5876424164 11752848328