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13262706990 = 23351319712801
BaseRepresentation
bin11000101101000010…
…01101100100101110
31021020022010022201000
430112201031210232
5204130223110430
610032013501130
7646443102141
oct142641154456
937208108630
1013262706990
1156964a8075
1226a17a17a6
131334943120
148db5d2058
15529545e60
hex31684d92e

13262706990 has 256 divisors, whose sum is σ = 40671590400. Its totient is φ = 3048192000.

The previous prime is 13262706973. The next prime is 13262706991. The reversal of 13262706990 is 9960726231.

It is a happy number.

13262706990 is a `hidden beast` number, since 13 + 2 + 627 + 0 + 6 + 9 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13262706991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4733590 + ... + 4736390.

It is an arithmetic number, because the mean of its divisors is an integer number (158873400).

Almost surely, 213262706990 is an apocalyptic number.

13262706990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13262706990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20335795200).

13262706990 is an abundant number, since it is smaller than the sum of its proper divisors (27408883410).

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

13262706990 is a wasteful number, since it uses less digits than its factorization.

13262706990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13262706990 in words is "thirteen billion, two hundred sixty-two million, seven hundred six thousand, nine hundred ninety".