Search a number
-
+
30497987736 = 23323115119043
BaseRepresentation
bin11100011001110100…
…100101110010011000
32220201110100022010100
4130121310211302120
5444424441101421
622002141415400
72126524422066
oct343164456230
986643308110
1030497987736
1111a30356647
125ab186a560
132b505c42b8
141694639036
15bd76e5c26
hex719d25c98

30497987736 has 96 divisors (see below), whose sum is σ = 85329054720. Its totient is φ = 9830462400.

The previous prime is 30497987717. The next prime is 30497987753. The reversal of 30497987736 is 63778979403.

30497987736 is a `hidden beast` number, since 30 + 497 + 9 + 87 + 7 + 36 = 666.

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 23 ways as a sum of consecutive naturals, for example, 3368031 + ... + 3377073.

It is an arithmetic number, because the mean of its divisors is an integer number (888844320).

Almost surely, 230497987736 is an apocalyptic number.

30497987736 is a gapful number since it is divisible by the number (36) 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 30497987736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42664527360).

30497987736 is an abundant number, since it is smaller than the sum of its proper divisors (54831066984).

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

30497987736 is a wasteful number, since it uses less digits than its factorization.

30497987736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597 (or 10590 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 30497987736 in words is "thirty billion, four hundred ninety-seven million, nine hundred eighty-seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1511 2232 3022 4533 6044 9043 9066 12088 13599 18086 18132 27129 27198 36172 36264 46841 54258 54396 72344 81387 93682 108516 108792 140523 162774 187364 217032 280333 281046 325548 374728 421569 560666 562092 651096 840999 843138 1121332 1124184 1681998 1686276 2242664 2522997 3363996 3372552 5045994 6727992 10091988 13663973 20183976 27327946 40991919 54655892 81983838 109311784 122975757 163967676 245951514 327935352 423583163 491903028 847166326 983806056 1270749489 1694332652 2541498978 3388665304 3812248467 5082997956 7624496934 10165995912 15248993868 30497987736