Search a number
-
+
199987294896 = 24331231376063
BaseRepresentation
bin1011101001000000101…
…0111111001010110000
3201010012110101012101000
42322100022333022300
511234033221414041
6231512313442000
720306604646614
oct2722012771260
9633173335330
10199987294896
11778a5683714
1232913410300
1315b217c126c
149972535344
1553072b4bb6
hex2e902bf2b0

199987294896 has 80 divisors (see below), whose sum is σ = 574505451520. Its totient is φ = 66608101440.

The previous prime is 199987294883. The next prime is 199987294907. The reversal of 199987294896 is 698492789991.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343761 + ... + 719823.

It is an arithmetic number, because the mean of its divisors is an integer number (7181318144).

Almost surely, 2199987294896 is an apocalyptic number.

199987294896 is a gapful number since it is divisible by the number (16) 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 199987294896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287252725760).

199987294896 is an abundant number, since it is smaller than the sum of its proper divisors (374518156624).

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

199987294896 is a wasteful number, since it uses less digits than its factorization.

199987294896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377311 (or 377299 counting only the distinct ones).

The product of its digits is 1269789696, while the sum is 81.

The spelling of 199987294896 in words is "one hundred ninety-nine billion, nine hundred eighty-seven million, two hundred ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1231 2462 3693 4924 7386 9848 11079 14772 19696 22158 29544 33237 44316 59088 66474 88632 132948 177264 265896 376063 531792 752126 1128189 1504252 2256378 3008504 3384567 4512756 6017008 6769134 9025512 10153701 13538268 18051024 20307402 27076536 40614804 54153072 81229608 162459216 462933553 925867106 1388800659 1851734212 2777601318 3703468424 4166401977 5555202636 7406936848 8332803954 11110405272 12499205931 16665607908 22220810544 24998411862 33331215816 49996823724 66662431632 99993647448 199987294896