Search a number
-
+
30186251316 = 22331373294523
BaseRepresentation
bin11100000111001111…
…011010010000110100
32212220201202110011000
4130013033122100310
5443310140020231
621511204043300
72116020621414
oct340717322064
985821673130
1030186251316
1111890396441
125a25393530
132b00b47490
14166508c644
15bba1696e6
hex7073da434

30186251316 has 96 divisors (see below), whose sum is σ = 85435521920. Its totient is φ = 9160812288.

The previous prime is 30186251309. The next prime is 30186251377. The reversal of 30186251316 is 61315268103.

30186251316 is a `hidden beast` number, since 3 + 0 + 1 + 8 + 625 + 13 + 16 = 666.

It is a super-2 number, since 2×301862513162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 44770 + ... + 249753.

Almost surely, 230186251316 is an apocalyptic number.

30186251316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30186251316 is an abundant number, since it is smaller than the sum of its proper divisors (55249270604).

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

30186251316 is a wasteful number, since it uses less digits than its factorization.

30186251316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294622 (or 294614 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 30186251316 in words is "thirty billion, one hundred eighty-six million, two hundred fifty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 73 78 108 117 146 156 219 234 292 351 438 468 657 702 876 949 1314 1404 1898 1971 2628 2847 3796 3942 5694 7884 8541 11388 17082 25623 34164 51246 102492 294523 589046 883569 1178092 1767138 2650707 3534276 3828799 5301414 7657598 7952121 10602828 11486397 15315196 15904242 21500179 22972794 31808484 34459191 43000358 45945588 64500537 68918382 86000716 103377573 129001074 137836764 193501611 206755146 258002148 279502327 387003222 413510292 559004654 580504833 774006444 838506981 1118009308 1161009666 1677013962 2322019332 2515520943 3354027924 5031041886 7546562829 10062083772 15093125658 30186251316