Search a number
-
+
2162552374080 = 2632572294711243
BaseRepresentation
bin11111011110000010001…
…010101000001101000000
321122201220222211000222100
4133132002022220031000
5240412401401432310
64333243550310400
7312145030613100
oct37360212501500
97581828730870
102162552374080
1176415148a40a
122ab14a4b8400
13128c0a53a2c7
147694d369200
153b3bda8dec0
hex1f7822a8340

2162552374080 has 1008 divisors, whose sum is σ = 9142321893120. Its totient is φ = 467057074176.

The previous prime is 2162552374069. The next prime is 2162552374091. The reversal of 2162552374080 is 804732552612.

2162552374080 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 5 + 5 + 237 + 408 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2162552374069) and next prime (2162552374091).

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 192340939 + ... + 192352181.

Almost surely, 22162552374080 is an apocalyptic number.

2162552374080 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 2162552374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571160946560).

2162552374080 is an abundant number, since it is smaller than the sum of its proper divisors (6979769519040).

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

2162552374080 is a wasteful number, since it uses less digits than its factorization.

2162552374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11356 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2162552374080 in words is "two trillion, one hundred sixty-two billion, five hundred fifty-two million, three hundred seventy-four thousand, eighty".