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190096141296 = 24327114613787
BaseRepresentation
bin1011000100001010011…
…1001110101111110000
3200011200010102112102210
42301002213032233300
511103304103010141
6223155020012120
716506521353245
oct2610247165760
9604603375383
10190096141296
117368a352606
1230a12991040
1314c06524059
1492b4a275cc
154e28c57916
hex2c429cebf0

190096141296 has 40 divisors (see below), whose sum is σ = 492893841664. Its totient is φ = 63131555520.

The previous prime is 190096141267. The next prime is 190096141327. The reversal of 190096141296 is 692141690091.

It is a happy number.

190096141296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1900961412962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 7293886 + ... + 7319901.

Almost surely, 2190096141296 is an apocalyptic number.

190096141296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

190096141296 is an abundant number, since it is smaller than the sum of its proper divisors (302797700368).

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

190096141296 is a wasteful number, since it uses less digits than its factorization.

190096141296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14614069 (or 14614063 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The spelling of 190096141296 in words is "one hundred ninety billion, ninety-six million, one hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 271 542 813 1084 1626 2168 3252 4336 6504 13008 14613787 29227574 43841361 58455148 87682722 116910296 175365444 233820592 350730888 701461776 3960336277 7920672554 11881008831 15841345108 23762017662 31682690216 47524035324 63365380432 95048070648 190096141296