Search a number
-
+
11172116007 = 32131634791223
BaseRepresentation
bin10100110011110100…
…01111011000100111
31001211121022022000100
422121322033120213
5140340030203012
65044333115143
7543566263533
oct123172173047
931747268010
1011172116007
114813406128
1221b9628ab3
13109079ab40
1477dab4bc3
15455c3b8dc
hex299e8f627

11172116007 has 48 divisors (see below), whose sum is σ = 17536296960. Its totient is φ = 6813129024.

The previous prime is 11172116003. The next prime is 11172116017. The reversal of 11172116007 is 70061127111.

It is not a de Polignac number, because 11172116007 - 22 = 11172116003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11172116003) 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 47 ways as a sum of consecutive naturals, for example, 9134398 + ... + 9135620.

It is an arithmetic number, because the mean of its divisors is an integer number (365339520).

Almost surely, 211172116007 is an apocalyptic number.

11172116007 is a deficient number, since it is larger than the sum of its proper divisors (6364180953).

11172116007 is a wasteful number, since it uses less digits than its factorization.

11172116007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

The spelling of 11172116007 in words is "eleven billion, one hundred seventy-two million, one hundred sixteen thousand, seven".

Divisors: 1 3 9 13 39 117 163 479 489 1223 1437 1467 2119 3669 4311 6227 6357 11007 15899 18681 19071 47697 56043 78077 143091 199349 234231 585817 598047 702693 1015001 1757451 1794141 2591537 3045003 5272353 7615621 7774611 9135009 22846863 23323833 68540589 95488171 286464513 859393539 1241346223 3724038669 11172116007