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2290470690816 = 2133671117293
BaseRepresentation
bin100001010101001010101…
…100010010000000000000
322002222002211200211000000
4201111022230102000000
5300011340444101231
64512121104000000
7324323666432040
oct41251254220000
98088084624000
102290470690816
11803423aa1050
1230baaa000000
13137cb5068199
147cc06195720
153e8a8ca76e6
hex2154ab12000

2290470690816 has 1568 divisors, whose sum is σ = 9097135463808. Its totient is φ = 558020689920.

The previous prime is 2290470690797. The next prime is 2290470690839. The reversal of 2290470690816 is 6180960740922.

2290470690816 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 470 + 6 + 90 + 81 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7817305966 + ... + 7817306258.

It is an arithmetic number, because the mean of its divisors is an integer number (5801744556).

Almost surely, 22290470690816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290470690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548567731904).

2290470690816 is an abundant number, since it is smaller than the sum of its proper divisors (6806664772992).

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

2290470690816 is an equidigital number, since it uses as much as digits as its factorization.

2290470690816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2290470690816 in words is "two trillion, two hundred ninety billion, four hundred seventy million, six hundred ninety thousand, eight hundred sixteen".