Search a number
-
+
3256390287360 = 2153357283181
BaseRepresentation
bin101111011000101111111…
…111001000000000000000
3102112022022102211100212000
4233120233333020000000
5411323041403143420
610531544241104000
7454160246512200
oct57305777100000
912468272740760
103256390287360
111046033472451
1244713a628000
131a80cb7a8302
14b38782b0400
1559a8d58b690
hex2f62ffc8000

3256390287360 has 1536 divisors, whose sum is σ = 13705979414400. Its totient is φ = 731287388160.

The previous prime is 3256390287347. The next prime is 3256390287377. The reversal of 3256390287360 is 637820936523.

It is a happy number.

3256390287360 is a `hidden beast` number, since 3 + 2 + 563 + 9 + 0 + 2 + 8 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×32563902873602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3256390287297 and 3256390287306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17991106470 + ... + 17991106650.

Almost surely, 23256390287360 is an apocalyptic number.

3256390287360 is a gapful number since it is divisible by the number (30) 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 3256390287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852989707200).

3256390287360 is an abundant number, since it is smaller than the sum of its proper divisors (10449589127040).

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

3256390287360 is an equidigital number, since it uses as much as digits as its factorization.

3256390287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3256390287360 in words is "three trillion, two hundred fifty-six billion, three hundred ninety million, two hundred eighty-seven thousand, three hundred sixty".