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159140948736 = 28372111093527
BaseRepresentation
bin1001010000110110001…
…0100010101100000000
3120012202210202211012110
42110031202202230000
510101410040324421
6201035222455320
714332442513400
oct2241542425400
9505683684173
10159140948736
1161544a0a240
1226a13b94540
13120122ac873
1479b97b6800
15421634da76
hex250d8a2b00

159140948736 has 432 divisors, whose sum is σ = 542573095680. Its totient is φ = 40944476160.

The previous prime is 159140948719. The next prime is 159140948737. The reversal of 159140948736 is 637849041951.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (159140948737) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 45119005 + ... + 45122531.

It is an arithmetic number, because the mean of its divisors is an integer number (1255956240).

Almost surely, 2159140948736 is an apocalyptic number.

159140948736 is a gapful number since it is divisible by the number (16) 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 159140948736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271286547840).

159140948736 is an abundant number, since it is smaller than the sum of its proper divisors (383432146944).

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

159140948736 is a wasteful number, since it uses less digits than its factorization.

159140948736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 159140948736 in words is "one hundred fifty-nine billion, one hundred forty million, nine hundred forty-eight thousand, seven hundred thirty-six".