Search a number
-
+
13922917470 = 23457111931379
BaseRepresentation
bin11001111011101111…
…01101110001011110
31022221022102111020000
430331313231301132
5212003231324340
610221320235130
71002010563060
oct147567556136
938838374200
1013922917470
1159a513aa70
12284690baa6
13140b660707
1496116d730
155674a8d30
hex33ddedc5e

13922917470 has 640 divisors, whose sum is σ = 50850201600. Its totient is φ = 2645395200.

The previous prime is 13922917453. The next prime is 13922917483. The reversal of 13922917470 is 7471922931.

13922917470 is a `hidden beast` number, since 1 + 3 + 92 + 2 + 91 + 7 + 470 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 36735741 + ... + 36736119.

It is an arithmetic number, because the mean of its divisors is an integer number (79453440).

Almost surely, 213922917470 is an apocalyptic number.

13922917470 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 13922917470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25425100800).

13922917470 is an abundant number, since it is smaller than the sum of its proper divisors (36927284130).

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

13922917470 is a wasteful number, since it uses less digits than its factorization.

13922917470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 13922917470 in words is "thirteen billion, nine hundred twenty-two million, nine hundred seventeen thousand, four hundred seventy".