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1364970418944 = 283112531911451
BaseRepresentation
bin10011110111001110100…
…100111011001100000000
311211111020010122200221220
4103313032210323030000
5134330424411401234
62523020405115040
7200421145061406
oct23671644731400
94744203580856
101364970418944
11486976242600
121a06599b8a80
139b940526b12
144a0ca1dd476
152578cbd9a49
hex13dce93b300

1364970418944 has 432 divisors, whose sum is σ = 4092551350272. Its totient is φ = 403420160000.

The previous prime is 1364970418943. The next prime is 1364970418967. The reversal of 1364970418944 is 4498140794631.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1364970418943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 940709419 + ... + 940710869.

It is an arithmetic number, because the mean of its divisors is an integer number (9473498496).

Almost surely, 21364970418944 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 1364970418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046275675136).

1364970418944 is an abundant number, since it is smaller than the sum of its proper divisors (2727580931328).

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

1364970418944 is a wasteful number, since it uses less digits than its factorization.

1364970418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 1364970418944 in words is "one trillion, three hundred sixty-four billion, nine hundred seventy million, four hundred eighteen thousand, nine hundred forty-four".