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2142485658096 = 2437323103163337
BaseRepresentation
bin11111001011010110000…
…110001011100111110000
321120211010111202020121020
4133023112012023213300
5240100302312024341
64320124435055440
7310534535421000
oct37132606134760
97524114666536
102142485658096
11756694332713
122a728a141580
131270600a3874
14759a8278000
153aae7045566
hex1f2d618b9f0

2142485658096 has 640 divisors, whose sum is σ = 6862570291200. Its totient is φ = 574571999232.

The previous prime is 2142485658077. The next prime is 2142485658143. The reversal of 2142485658096 is 6908565842412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6357524040 + ... + 6357524376.

It is an arithmetic number, because the mean of its divisors is an integer number (10722766080).

Almost surely, 22142485658096 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 2142485658096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431285145600).

2142485658096 is an abundant number, since it is smaller than the sum of its proper divisors (4720084633104).

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

2142485658096 is a wasteful number, since it uses less digits than its factorization.

2142485658096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 2142485658096 in words is "two trillion, one hundred forty-two billion, four hundred eighty-five million, six hundred fifty-eight thousand, ninety-six".