Search a number
-
+
16478745300 = 22345283127193
BaseRepresentation
bin11110101100011010…
…11011001011010100
31120112102122222220000
433112031123023110
5232222024322200
611323100411300
71122234011133
oct172615331324
946472588800
1016478745300
116a96905276
12323a846b30
131728008a84
14b2479391a
15666a61300
hex3d635b2d4

16478745300 has 360 divisors, whose sum is σ = 54769161216. Its totient is φ = 4284887040.

The previous prime is 16478745293. The next prime is 16478745323. The reversal of 16478745300 is 354787461.

16478745300 is a `hidden beast` number, since 1 + 6 + 47 + 8 + 74 + 530 + 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 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 119 ways as a sum of consecutive naturals, for example, 85382004 + ... + 85382196.

Almost surely, 216478745300 is an apocalyptic number.

16478745300 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 16478745300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27384580608).

16478745300 is an abundant number, since it is smaller than the sum of its proper divisors (38290415916).

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

16478745300 is a wasteful number, since it uses less digits than its factorization.

16478745300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 16478745300 in words is "sixteen billion, four hundred seventy-eight million, seven hundred forty-five thousand, three hundred".