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2645319680000 = 216541729131
BaseRepresentation
bin100110011111101001010…
…101110000000000000000
3100100220000212200012000222
4212133221111300000000
5321320103314230000
65343124301202212
7362055326165024
oct46375125600000
910326025605028
102645319680000
1192a967aa5778
12368820260368
131625b640137a
1492069a1a384
1548c26883a85
hex267e9570000

2645319680000 has 680 divisors, whose sum is σ = 7296680627280. Its totient is φ = 954204160000.

The previous prime is 2645319679999. The next prime is 2645319680011. The reversal of 2645319680000 is 869135462.

It is a tau number, because it is divible by the number of its divisors (680).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20193279935 + ... + 20193280065.

Almost surely, 22645319680000 is an apocalyptic number.

2645319680000 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 2645319680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648340313640).

2645319680000 is an abundant number, since it is smaller than the sum of its proper divisors (4651360947280).

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

2645319680000 is an frugal number, since it uses more digits than its factorization.

2645319680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 2645319680000 in words is "two trillion, six hundred forty-five billion, three hundred nineteen million, six hundred eighty thousand".