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2344662664432 = 241121922721237
BaseRepresentation
bin100010000111101000110…
…010010000010011110000
322022010222120110022100221
4202013220302100103300
5301403332120230212
64553042334022424
7331252632546154
oct42075062202360
98263876408327
102344662664432
11824402a48a00
1231a4b2947a14
1314014043346a
14816a752d064
1540ecb693807
hex221e8c904f0

2344662664432 has 180 divisors, whose sum is σ = 5283638188360. Its totient is φ = 1004402868480.

The previous prime is 2344662664429. The next prime is 2344662664493.

2344662664432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2344662664432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1895442118 + ... + 1895443354.

Almost surely, 22344662664432 is an apocalyptic number.

2344662664432 is a gapful number since it is divisible by the number (22) 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 2344662664432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641819094180).

2344662664432 is an abundant number, since it is smaller than the sum of its proper divisors (2938975523928).

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

2344662664432 is a wasteful number, since it uses less digits than its factorization.

2344662664432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1496 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 52.

The spelling of 2344662664432 in words is "two trillion, three hundred forty-four billion, six hundred sixty-two million, six hundred sixty-four thousand, four hundred thirty-two".