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2140650357664 = 257133137640901
BaseRepresentation
bin11111001001101000101…
…101000100001110100000
321120122101121022022201011
4133021220231010032200
5240033022442421124
64315222354150304
7310441211550610
oct37115055041640
97518347268634
102140650357664
117559323582a5
122a6a57582394
13126b29aa4090
1475872612a40
153aa3ad67994
hex1f268b443a0

2140650357664 has 192 divisors, whose sum is σ = 5499000686592. Its totient is φ = 797382144000.

The previous prime is 2140650357647. The next prime is 2140650357679. The reversal of 2140650357664 is 4667530560412.

It is a super-3 number, since 3×21406503576643 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3019614 + ... + 3660514.

It is an arithmetic number, because the mean of its divisors is an integer number (28640628576).

Almost surely, 22140650357664 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 2140650357664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749500343296).

2140650357664 is an abundant number, since it is smaller than the sum of its proper divisors (3358350328928).

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

2140650357664 is a wasteful number, since it uses less digits than its factorization.

2140650357664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640999 (or 640991 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 2140650357664 in words is "two trillion, one hundred forty billion, six hundred fifty million, three hundred fifty-seven thousand, six hundred sixty-four".