Search a number
-
+
16427204352 = 2837133761
BaseRepresentation
bin11110100110010001…
…10011111100000000
31120101211200110000000
433103020303330000
5232120331014402
611314020000000
71121036635026
oct172310637400
946354613000
1016427204352
116a6a801849
123225530000
13171a431180
14b1b9b8716
1566227ec1c
hex3d3233f00

16427204352 has 576 divisors, whose sum is σ = 55283822720. Its totient is φ = 4837294080.

The previous prime is 16427204323. The next prime is 16427204369. The reversal of 16427204352 is 25340272461.

16427204352 is a `hidden beast` number, since 1 + 642 + 7 + 2 + 0 + 4 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269298402 + ... + 269298462.

Almost surely, 216427204352 is an apocalyptic number.

16427204352 is a gapful number since it is divisible by the number (12) 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 16427204352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27641911360).

16427204352 is an abundant number, since it is smaller than the sum of its proper divisors (38856618368).

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

16427204352 is an frugal number, since it uses more digits than its factorization.

16427204352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 16427204352 in words is "sixteen billion, four hundred twenty-seven million, two hundred four thousand, three hundred fifty-two".