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2145561899364 = 22331317537272333
BaseRepresentation
bin11111001110001101011…
…101000111000101100100
321121010001220020111022000
4133032031131013011210
5240123102321234424
64321354005405300
7311004011143302
oct37161535070544
97533056214260
102145561899364
11757a22837274
122a79a8409830
13127430500680
1475bbaa49272
153ac271493c9
hex1f38d747164

2145561899364 has 384 divisors, whose sum is σ = 6474176916480. Its totient is φ = 608516333568.

The previous prime is 2145561899357. The next prime is 2145561899401. The reversal of 2145561899364 is 4639981655412.

2145561899364 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 5 + 618 + 9 + 9 + 3 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 919656742 + ... + 919659074.

It is an arithmetic number, because the mean of its divisors is an integer number (16859835720).

Almost surely, 22145561899364 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 2145561899364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237088458240).

2145561899364 is an abundant number, since it is smaller than the sum of its proper divisors (4328615017116).

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

2145561899364 is a wasteful number, since it uses less digits than its factorization.

2145561899364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3148 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 2145561899364 in words is "two trillion, one hundred forty-five billion, five hundred sixty-one million, eight hundred ninety-nine thousand, three hundred sixty-four".