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1356373939680 = 25355263132647
BaseRepresentation
bin10011101111001110001…
…011111101010111100000
311210200001000212022100000
4103233032023331113200
5134210323212032210
62515035400500000
7166665132154554
oct23571613752740
94720030768300
101356373939680
11483264801491
1219aa5aa7a600
139aba054b7b6
1449912627864
1525438169ac0
hex13bce2fd5e0

1356373939680 has 288 divisors, whose sum is σ = 4818344154624. Its totient is φ = 360321716736.

The previous prime is 1356373939631. The next prime is 1356373939721. The reversal of 1356373939680 is 869393736531.

It is a happy number.

1356373939680 is a `hidden beast` number, since 1 + 3 + 56 + 37 + 393 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10159117 + ... + 10291763.

It is an arithmetic number, because the mean of its divisors is an integer number (16730361648).

Almost surely, 21356373939680 is an apocalyptic number.

1356373939680 is a gapful number since it is divisible by the number (10) 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 1356373939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409172077312).

1356373939680 is an abundant number, since it is smaller than the sum of its proper divisors (3461970214944).

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

1356373939680 is a wasteful number, since it uses less digits than its factorization.

1356373939680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132940 (or 132920 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 1356373939680 in words is "one trillion, three hundred fifty-six billion, three hundred seventy-three million, nine hundred thirty-nine thousand, six hundred eighty".