Search a number
-
+
190427896512 = 263371131271097
BaseRepresentation
bin1011000101011001100…
…0110001101011000000
3200012112020200110001000
42301112120301223000
511104444020142022
6223251550412000
716520660261520
oct2612630615300
9605466613030
10190427896512
117383a646177
1230aa5b01000
1314c5a18ca09
149306b05680
154e47e3a6ac
hex2c56631ac0

190427896512 has 448 divisors, whose sum is σ = 651134730240. Its totient is φ = 53453094912.

The previous prime is 190427896459. The next prime is 190427896567. The reversal of 190427896512 is 215698724091.

It is a happy number.

190427896512 is a `hidden beast` number, since 1 + 9 + 0 + 42 + 7 + 89 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1904278965122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173589148 + ... + 173590244.

Almost surely, 2190427896512 is an apocalyptic number.

190427896512 is a gapful number since it is divisible by the number (12) 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 190427896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325567365120).

190427896512 is an abundant number, since it is smaller than the sum of its proper divisors (460706833728).

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

190427896512 is a wasteful number, since it uses less digits than its factorization.

190427896512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 190427896512 in words is "one hundred ninety billion, four hundred twenty-seven million, eight hundred ninety-six thousand, five hundred twelve".