Search a number
-
+
16124766840 = 23325713618069
BaseRepresentation
bin11110000010001110…
…00110101001111000
31112121202121000201200
433001013012221320
5231010420014330
611224013414200
71110405154020
oct170107065170
945552530650
1016124766840
116925012a96
12316019a360
13169c88ba70
14acd76ca80
1564593da60
hex3c11c6a78

16124766840 has 384 divisors, whose sum is σ = 65564553600. Its totient is φ = 3345960960.

The previous prime is 16124766809. The next prime is 16124766881. The reversal of 16124766840 is 4866742161.

It is a super-3 number, since 3×161247668403 (a number of 32 digits) contains 333 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1994326 + ... + 2002394.

It is an arithmetic number, because the mean of its divisors is an integer number (170741025).

Almost surely, 216124766840 is an apocalyptic number.

16124766840 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 16124766840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32782276800).

16124766840 is an abundant number, since it is smaller than the sum of its proper divisors (49439786760).

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

16124766840 is a wasteful number, since it uses less digits than its factorization.

16124766840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8167 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16124766840 in words is "sixteen billion, one hundred twenty-four million, seven hundred sixty-six thousand, eight hundred forty".