Search a number
-
+
13854947700 = 223521121013779
BaseRepresentation
bin11001110011101000…
…11011100101110100
31022202120112021020010
430321310123211310
5211333331311300
610210451340220
71000224053346
oct147164334564
938676467203
1013854947700
11596a836300
122827bb1670
1313ca553009
14956119296
1556152ea50
hex339d1b974

13854947700 has 216 divisors, whose sum is σ = 44510588640. Its totient is φ = 3324640000.

The previous prime is 13854947699. The next prime is 13854947731. The reversal of 13854947700 is 774945831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13854947700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3664411 + ... + 3668189.

It is an arithmetic number, because the mean of its divisors is an integer number (206067540).

Almost surely, 213854947700 is an apocalyptic number.

13854947700 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 13854947700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22255294320).

13854947700 is an abundant number, since it is smaller than the sum of its proper divisors (30655640940).

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

13854947700 is a wasteful number, since it uses less digits than its factorization.

13854947700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 13854947700 in words is "thirteen billion, eight hundred fifty-four million, nine hundred forty-seven thousand, seven hundred".