Search a number
-
+
17136007136 = 253752327673
BaseRepresentation
bin11111111010110001…
…01011011111100000
31122020020102100121222
433331120223133200
5240043304212021
611512220034212
71144434441323
oct177530533740
948206370558
1017136007136
1172a3913876
1233a2992968
1318012331c1
14b87ba47ba
156a45e06ab
hex3fd62b7e0

17136007136 has 48 divisors (see below), whose sum is σ = 34715815344. Its totient is φ = 8320195584.

The previous prime is 17136007129. The next prime is 17136007169. The reversal of 17136007136 is 63170063171.

It is a junction number, because it is equal to n+sod(n) for n = 17136007096 and 17136007105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605396 + ... + 633068.

It is an arithmetic number, because the mean of its divisors is an integer number (723246153).

Almost surely, 217136007136 is an apocalyptic number.

17136007136 is a gapful number since it is divisible by the number (16) 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 17136007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357907672).

17136007136 is an abundant number, since it is smaller than the sum of its proper divisors (17579808208).

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

17136007136 is a wasteful number, since it uses less digits than its factorization.

17136007136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28243 (or 28235 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The spelling of 17136007136 in words is "seventeen billion, one hundred thirty-six million, seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 74 148 296 523 592 1046 1184 2092 4184 8368 16736 19351 27673 38702 55346 77404 110692 154808 221384 309616 442768 619232 885536 1023901 2047802 4095604 8191208 14472979 16382416 28945958 32764832 57891916 115783832 231567664 463135328 535500223 1071000446 2142000892 4284001784 8568003568 17136007136