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13420578402 = 23271161181877
BaseRepresentation
bin11000111111110110…
…11100011001100010
31021122022012000120100
430133323130121202
5204441132002102
610055413323230
7653401014510
oct143773343142
937568160510
1013420578402
115767626210
122726636516
13135b569a6a
149145694b0
1553832ca1c
hex31fedc662

13420578402 has 192 divisors, whose sum is σ = 37093125888. Its totient is φ = 3405888000.

The previous prime is 13420578359. The next prime is 13420578439. The reversal of 13420578402 is 20487502431.

It is a happy number.

13420578402 is a `hidden beast` number, since 1 + 3 + 42 + 0 + 578 + 40 + 2 = 666.

It is a super-2 number, since 2×134205784022 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15302388 + ... + 15303264.

It is an arithmetic number, because the mean of its divisors is an integer number (193193364).

Almost surely, 213420578402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420578402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18546562944).

13420578402 is an abundant number, since it is smaller than the sum of its proper divisors (23672547486).

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

13420578402 is a wasteful number, since it uses less digits than its factorization.

13420578402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 13420578402 in words is "thirteen billion, four hundred twenty million, five hundred seventy-eight thousand, four hundred two".