Search a number
-
+
13294255680 = 263351790511
BaseRepresentation
bin11000110000110011…
…00011111001000000
31021022111111011101000
430120121203321000
5204211312140210
610035102012000
7650305210626
oct143031437100
937274434330
1013294255680
115702296072
1226b0277000
13133b33aca4
14901885516
1552c1c8ac0
hex318663e40

13294255680 has 224 divisors, whose sum is σ = 49658503680. Its totient is φ = 3336560640.

The previous prime is 13294255633. The next prime is 13294255813. The reversal of 13294255680 is 8655249231.

13294255680 is a `hidden beast` number, since 1 + 3 + 2 + 94 + 2 + 556 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101625 + ... + 192135.

Almost surely, 213294255680 is an apocalyptic number.

13294255680 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 13294255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24829251840).

13294255680 is an abundant number, since it is smaller than the sum of its proper divisors (36364248000).

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

13294255680 is a wasteful number, since it uses less digits than its factorization.

13294255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90554 (or 90538 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13294255680 in words is "thirteen billion, two hundred ninety-four million, two hundred fifty-five thousand, six hundred eighty".