Search a number
-
+
332730819776 = 2629263368087
BaseRepresentation
bin1001101011110000100…
…11010110010011000000
31011210211120201221121102
410311320103112103000
520422413042213101
6412504320113532
733016244206025
oct4657023262300
91153746657542
10332730819776
11119123967683
125459aa658a8
13254b7bab5a4
141216612354c
1589c5e0986b
hex4d784d64c0

332730819776 has 56 divisors (see below), whose sum is σ = 683299847520. Its totient is φ = 160565307392.

The previous prime is 332730819769. The next prime is 332730819779. The reversal of 332730819776 is 677918037233.

It is a super-2 number, since 2×3327308197762 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (332730819779) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4852805 + ... + 4920891.

Almost surely, 2332730819776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332730819776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341649923760).

332730819776 is an abundant number, since it is smaller than the sum of its proper divisors (350569027744).

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

332730819776 is a wasteful number, since it uses less digits than its factorization.

332730819776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70761 (or 70751 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 56.

The spelling of 332730819776 in words is "three hundred thirty-two billion, seven hundred thirty million, eight hundred nineteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 2633 5266 10532 21064 42128 68087 76357 84256 136174 152714 168512 272348 305428 544696 610856 1089392 1221712 1974523 2178784 2443424 3949046 4357568 4886848 7898092 15796184 31592368 63184736 126369472 179273071 358546142 717092284 1434184568 2868369136 5198919059 5736738272 10397838118 11473476544 20795676236 41591352472 83182704944 166365409888 332730819776