Search a number
-
+
16772315008 = 27971678089
BaseRepresentation
bin11111001111011010…
…10011011110000000
31121021220001212211011
433213231103132000
5233322203040013
611412144530304
71132430216401
oct174755233600
947256055734
1016772315008
117127597569
123301020994
131773a94a67
14b517719a8
156826eec3d
hex3e7b53780

16772315008 has 64 divisors (see below), whose sum is σ = 33964408800. Its totient is φ = 8248983552.

The previous prime is 16772315003. The next prime is 16772315011. The reversal of 16772315008 is 80051327761.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16772315003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2069428 + ... + 2077516.

Almost surely, 216772315008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16772315008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982204400).

16772315008 is an abundant number, since it is smaller than the sum of its proper divisors (17192093792).

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

16772315008 is an equidigital number, since it uses as much as digits as its factorization.

16772315008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8367 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 16772315008 in words is "sixteen billion, seven hundred seventy-two million, three hundred fifteen thousand, eight".

Divisors: 1 2 4 8 16 32 64 97 128 167 194 334 388 668 776 1336 1552 2672 3104 5344 6208 8089 10688 12416 16178 16199 21376 32356 32398 64712 64796 129424 129592 258848 259184 517696 518368 784633 1035392 1036736 1350863 1569266 2073472 2701726 3138532 5403452 6277064 10806904 12554128 21613808 25108256 43227616 50216512 86455232 100433024 131033711 172910464 262067422 524134844 1048269688 2096539376 4193078752 8386157504 16772315008