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381840195996 = 223272365879951
BaseRepresentation
bin1011000111001110111…
…00110000000110011100
31100111121002200202002100
411203213130300012130
522224002042232441
6451225344325100
736405233054010
oct5434734600634
91314532622070
10381840195996
11137a34921916
1262005613790
132a01328859c
14146a4458540
159dec4c5cb6
hex58e773019c

381840195996 has 72 divisors (see below), whose sum is σ = 1151054521344. Its totient is φ = 104353840800.

The previous prime is 381840195977. The next prime is 381840196021. The reversal of 381840195996 is 699591048183.

381840195996 is a `hidden beast` number, since 38 + 1 + 8 + 4 + 0 + 1 + 9 + 599 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32934180 + ... + 32945771.

It is an arithmetic number, because the mean of its divisors is an integer number (15986868352).

Almost surely, 2381840195996 is an apocalyptic number.

381840195996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381840195996 is an abundant number, since it is smaller than the sum of its proper divisors (769214325348).

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

381840195996 is a wasteful number, since it uses less digits than its factorization.

381840195996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65879991 (or 65879986 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 381840195996 in words is "three hundred eighty-one billion, eight hundred forty million, one hundred ninety-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 65879951 131759902 197639853 263519804 395279706 461159657 592919559 790559412 922319314 1185839118 1383478971 1515238873 1844638628 2371678236 2766957942 3030477746 4150436913 4545716619 5533915884 6060955492 8300873826 9091433238 10606672111 13637149857 16601747652 18182866476 21213344222 27274299714 31820016333 42426688444 54548599428 63640032666 95460048999 127280065332 190920097998 381840195996