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12872335840 = 2557131923179
BaseRepresentation
bin10111111110100000…
…00100000111100000
31020020002120102011021
423333100010013200
5202330304221330
65525150455224
7633663022630
oct137720040740
936202512137
1012872335840
115506109491
1225b2b04514
1312a1ac3490
148a18166c0
1550513567a
hex2ff4041e0

12872335840 has 576 divisors, whose sum is σ = 41292840960. Its totient is φ = 3687690240.

The previous prime is 12872335823. The next prime is 12872335867. The reversal of 12872335840 is 4853327821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162940921 + ... + 162940999.

It is an arithmetic number, because the mean of its divisors is an integer number (71688960).

Almost surely, 212872335840 is an apocalyptic number.

12872335840 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 12872335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20646420480).

12872335840 is an abundant number, since it is smaller than the sum of its proper divisors (28420505120).

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

12872335840 is a wasteful number, since it uses less digits than its factorization.

12872335840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 12872335840 in words is "twelve billion, eight hundred seventy-two million, three hundred thirty-five thousand, eight hundred forty".