Search a number
-
+
2655312192000 = 2934531331241
BaseRepresentation
bin100110101000111100111…
…100001010001000000000
3100101211211021100101120000
4212220330330022020000
5322001034410121000
65351500015320000
7362561053142046
oct46507474121000
910354737311500
102655312192000
11934125565956
1236a74a820000
13163519699470
1492736b90396
154910dc63000
hex26a3cf0a200

2655312192000 has 2400 divisors, whose sum is σ = 11274886454832. Its totient is φ = 617103360000.

The previous prime is 2655312191963. The next prime is 2655312192017. The reversal of 2655312192000 is 2912135562.

It is a happy number.

2655312192000 is a `hidden beast` number, since 2 + 6 + 553 + 12 + 1 + 92 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 228147611904 + 2427164580096 = 477648^2 + 1557936^2 .

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 64763711980 + ... + 64763712020.

Almost surely, 22655312192000 is an apocalyptic number.

2655312192000 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 2655312192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637443227416).

2655312192000 is an abundant number, since it is smaller than the sum of its proper divisors (8619574262832).

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

2655312192000 is an equidigital number, since it uses as much as digits as its factorization.

2655312192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 2655312192000 in words is "two trillion, six hundred fifty-five billion, three hundred twelve million, one hundred ninety-two thousand".