Search a number
-
+
13362069240 = 23325137094027
BaseRepresentation
bin11000111000111000…
…01111111011111000
31021111020002110002100
430130130033323320
5204331142203430
610045523303400
7652060500042
oct143434177370
937436073070
1013362069240
1157375a3433
12270ab1ab60
13134c3c2560
1490a898a92
15533121960
hex31c70fef8

13362069240 has 192 divisors, whose sum is σ = 46844834400. Its totient is φ = 3283670016.

The previous prime is 13362069211. The next prime is 13362069349. The reversal of 13362069240 is 4296026331.

13362069240 is a `hidden beast` number, since 1 + 3 + 3 + 620 + 6 + 9 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13362069195 and 13362069204.

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, 3316107 + ... + 3320133.

Almost surely, 213362069240 is an apocalyptic number.

13362069240 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 13362069240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23422417200).

13362069240 is an abundant number, since it is smaller than the sum of its proper divisors (33482765160).

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

13362069240 is a wasteful number, since it uses less digits than its factorization.

13362069240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13362069240 in words is "thirteen billion, three hundred sixty-two million, sixty-nine thousand, two hundred forty".