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2142091595160 = 2332511557971153
BaseRepresentation
bin11111001010111110100…
…110111100110110011000
321120210010001020202212200
4133022332212330312120
5240044000422021120
64320021401010200
7310522012064316
oct37127646746630
97523101222780
102142091595160
11756501952370
122a719a183960
13126cc956072a
147596bbbb0b6
153aac2655e90
hex1f2be9bcd98

2142091595160 has 192 divisors, whose sum is σ = 7608331205280. Its totient is φ = 518362091520.

The previous prime is 2142091595123. The next prime is 2142091595197. The reversal of 2142091595160 is 615951902412.

2142091595160 is a `hidden beast` number, since 2 + 1 + 42 + 0 + 9 + 1 + 595 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2142091595123) and next prime (2142091595197).

It is a super-2 number, since 2×21420915951602 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720144 + ... + 2691296.

Almost surely, 22142091595160 is an apocalyptic number.

2142091595160 is a gapful number since it is divisible by the number (20) 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 2142091595160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804165602640).

2142091595160 is an abundant number, since it is smaller than the sum of its proper divisors (5466239610120).

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

2142091595160 is a wasteful number, since it uses less digits than its factorization.

2142091595160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971738 (or 971731 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 2142091595160 in words is "two trillion, one hundred forty-two billion, ninety-one million, five hundred ninety-five thousand, one hundred sixty".