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12148685640 = 23335721317659
BaseRepresentation
bin10110101000001111…
…00011101101001000
31011100122220011201000
423110013203231020
5144340030420030
65325300255000
7610025060400
oct132407435510
934318804630
1012148685640
115174686373
1224306a1460
1311b7bc33b0
14833683800
154b1840860
hex2d41e3b48

12148685640 has 384 divisors, whose sum is σ = 50733648000. Its totient is φ = 2563094016.

The previous prime is 12148685621. The next prime is 12148685651. The reversal of 12148685640 is 4658684121.

It is a happy number.

12148685640 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 86 + 8 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 679131 + ... + 696789.

It is an arithmetic number, because the mean of its divisors is an integer number (132118875).

Almost surely, 212148685640 is an apocalyptic number.

12148685640 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 12148685640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25366824000).

12148685640 is an abundant number, since it is smaller than the sum of its proper divisors (38584962360).

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

12148685640 is a wasteful number, since it uses less digits than its factorization.

12148685640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17706 (or 17689 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12148685640 in words is "twelve billion, one hundred forty-eight million, six hundred eighty-five thousand, six hundred forty".