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5149191290880 = 21435713289199
BaseRepresentation
bin100101011101110001110…
…1101111100000000000000
3200020020221222211221221010
41022323203231330000000
51133331020432302010
614541301131400520
71041005521544640
oct112734355740000
920206858757833
105149191290880
11170583a27656a
126b1b458b3140
132b4749c31700
1413b317982520
158de20308620
hex4aee3b7c000

5149191290880 has 1440 divisors, whose sum is σ = 20723423616000. Its totient is φ = 1068817711104.

The previous prime is 5149191290869. The next prime is 5149191290891. The reversal of 5149191290880 is 880921919415.

It is an interprime number because it is at equal distance from previous prime (5149191290869) and next prime (5149191290891).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5149191290880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25875333021 + ... + 25875333219.

It is an arithmetic number, because the mean of its divisors is an integer number (14391266400).

Almost surely, 25149191290880 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 5149191290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10361711808000).

5149191290880 is an abundant number, since it is smaller than the sum of its proper divisors (15574232325120).

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

5149191290880 is a wasteful number, since it uses less digits than its factorization.

5149191290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 57.

The spelling of 5149191290880 in words is "five trillion, one hundred forty-nine billion, one hundred ninety-one million, two hundred ninety thousand, eight hundred eighty".