Search a number
-
+
914931881190 = 233547197365983
BaseRepresentation
bin11010101000001100011…
…00001001010011100110
310020110121011202020111000
431110012030021103212
5104442240030144230
61540151445254130
7123046602446565
oct15240614112346
93213534666430
10914931881190
11323025216178
121293a0a04346
136837c174972
14323d6557bdc
1518bed387b60
hexd5063094e6

914931881190 has 128 divisors (see below), whose sum is σ = 2504384593920. Its totient is φ = 237577947264.

The previous prime is 914931881179. The next prime is 914931881249. The reversal of 914931881190 is 91188139419.

It is a super-2 number, since 2×9149318811902 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2316939 + ... + 2682921.

It is an arithmetic number, because the mean of its divisors is an integer number (19565504640).

Almost surely, 2914931881190 is an apocalyptic number.

914931881190 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 914931881190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252192296960).

914931881190 is an abundant number, since it is smaller than the sum of its proper divisors (1589452712730).

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

914931881190 is a wasteful number, since it uses less digits than its factorization.

914931881190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366243 (or 366237 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 914931881190 in words is "nine hundred fourteen billion, nine hundred thirty-one million, eight hundred eighty-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 197 235 270 282 394 423 470 591 705 846 985 1182 1269 1410 1773 1970 2115 2538 2955 3546 4230 5319 5910 6345 8865 9259 10638 12690 17730 18518 26595 27777 46295 53190 55554 83331 92590 138885 166662 249993 277770 365983 416655 499986 731966 833310 1097949 1249965 1829915 2195898 2499930 3293847 3659830 5489745 6587694 9881541 10979490 16469235 17201201 19763082 32938470 34402402 49407705 51603603 72098651 86006005 98815410 103207206 144197302 154810809 172012010 216295953 258018015 309621618 360493255 432591906 464432427 516036030 648887859 720986510 774054045 928864854 1081479765 1297775718 1548108090 1946663577 2162959530 2322162135 3244439295 3388636597 3893327154 4644324270 6488878590 6777273194 9733317885 10165909791 16943182985 19466635770 20331819582 30497729373 33886365970 50829548955 60995458746 91493188119 101659097910 152488646865 182986376238 304977293730 457465940595 914931881190