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130667505768 = 23321999119731
BaseRepresentation
bin111100110110001100…
…0111110100001101000
3110111021102222001101200
41321230120332201220
54120101340141033
6140010002044200
712304030321212
oct1715430764150
9414242861350
10130667505768
1150463445098
12213a8349660
13c425277867
146477dc55b2
1535eb768013
hex1e6c63e868

130667505768 has 48 divisors (see below), whose sum is σ = 355669548000. Its totient is φ = 43336956960.

The previous prime is 130667505763. The next prime is 130667505893. The reversal of 130667505768 is 867505766031.

130667505768 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 67 + 5 + 0 + 576 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (130667505763) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4545538 + ... + 4574193.

It is an arithmetic number, because the mean of its divisors is an integer number (7409782250).

Almost surely, 2130667505768 is an apocalyptic number.

130667505768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130667505768 is an abundant number, since it is smaller than the sum of its proper divisors (225002042232).

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

130667505768 is a wasteful number, since it uses less digits than its factorization.

130667505768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119942 (or 9119935 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 130667505768 in words is "one hundred thirty billion, six hundred sixty-seven million, five hundred five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1791 2388 3582 4776 7164 14328 9119731 18239462 27359193 36478924 54718386 72957848 82077579 109436772 164155158 218873544 328310316 656620632 1814826469 3629652938 5444479407 7259305876 10888958814 14518611752 16333438221 21777917628 32666876442 43555835256 65333752884 130667505768