Search a number
-
+
90860038686 = 23317251394327
BaseRepresentation
bin101010010011110101…
…1100010101000011110
322200112012012012102000
41110213223202220132
52442040132214221
6105423541543130
76364411404654
oct1244753425036
9280465165360
1090860038686
113559613996a
1215738a14aa6
138750066901
14457d214dd4
15256bb12e26
hex1527ae2a1e

90860038686 has 64 divisors (see below), whose sum is σ = 214640616960. Its totient is φ = 28391472000.

The previous prime is 90860038673. The next prime is 90860038697. The reversal of 90860038686 is 68683006809.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33255 + ... + 427581.

It is an arithmetic number, because the mean of its divisors is an integer number (3353759640).

Almost surely, 290860038686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90860038686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107320308480).

90860038686 is an abundant number, since it is smaller than the sum of its proper divisors (123780578274).

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

90860038686 is a wasteful number, since it uses less digits than its factorization.

90860038686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394606 (or 394600 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 90860038686 in words is "ninety billion, eight hundred sixty million, thirty-eight thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 251 306 459 502 753 918 1506 2259 4267 4518 6777 8534 12801 13554 25602 38403 76806 115209 230418 394327 788654 1182981 2365962 3548943 6703559 7097886 10646829 13407118 20110677 21293658 40221354 60332031 98976077 120664062 180996093 197952154 296928231 361992186 593856462 890784693 1682593309 1781569386 2672354079 3365186618 5047779927 5344708158 10095559854 15143339781 30286679562 45430019343 90860038686