Search a number
-
+
96864099080 = 23571919371933
BaseRepresentation
bin101101000110110001…
…1001101101100001000
3100021000121220001220012
41122031203031230020
53041334202132310
6112255421451052
76666245154140
oct1321543155410
9307017801805
1096864099080
1138097293351
1216933710a88
139198c24878
14498c79d920
1527bdc9dc05
hex168d8cdb08

96864099080 has 128 divisors (see below), whose sum is σ = 250780078080. Its totient is φ = 32984340480.

The previous prime is 96864099071. The next prime is 96864099089. The reversal of 96864099080 is 8099046869.

It is an interprime number because it is at equal distance from previous prime (96864099071) and next prime (96864099089).

It is not an unprimeable number, because it can be changed into a prime (96864099089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50109794 + ... + 50111726.

It is an arithmetic number, because the mean of its divisors is an integer number (1959219360).

Almost surely, 296864099080 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 96864099080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125390039040).

96864099080 is an abundant number, since it is smaller than the sum of its proper divisors (153915979000).

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

96864099080 is a wasteful number, since it uses less digits than its factorization.

96864099080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 59.

The spelling of 96864099080 in words is "ninety-six billion, eight hundred sixty-four million, ninety-nine thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 191 280 382 764 937 955 1337 1528 1874 1910 1933 2674 3748 3820 3866 4685 5348 6559 6685 7496 7640 7732 9370 9665 10696 13118 13370 13531 15464 18740 19330 26236 26740 27062 32795 37480 38660 52472 53480 54124 65590 67655 77320 108248 131180 135310 178967 262360 270620 357934 369203 541240 715868 738406 894835 1252769 1431736 1476812 1789670 1811221 1846015 2505538 2584421 2953624 3579340 3622442 3692030 5011076 5168842 6263845 7158680 7244884 7384060 9056105 10022152 10337684 12527690 12678547 12922105 14489768 14768120 18112210 20675368 25055380 25357094 25844210 36224420 50110760 50714188 51688420 63392735 72448840 101428376 103376840 126785470 253570940 345943211 507141880 691886422 1383772844 1729716055 2421602477 2767545688 3459432110 4843204954 6918864220 9686409908 12108012385 13837728440 19372819816 24216024770 48432049540 96864099080