Search a number
-
+
1968953179674 = 231337829822971
BaseRepresentation
bin11100101001101110110…
…000010011111000011010
320222020012201202222001210
4130221232300103320122
5224224404003222144
64104305151523550
7262152331612635
oct34515660237032
96866181688053
101968953179674
1169a034815198
1227971a5295b6
1311389634b080
146b4253cac1c
153633c524ab9
hex1ca6ec13e1a

1968953179674 has 64 divisors (see below), whose sum is σ = 4360698195840. Its totient is φ = 588746154240.

The previous prime is 1968953179663. The next prime is 1968953179679. The reversal of 1968953179674 is 4769713598691.

It is a junction number, because it is equal to n+sod(n) for n = 1968953179596 and 1968953179605.

It is not an unprimeable number, because it can be changed into a prime (1968953179679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981009 + ... + 2803979.

It is an arithmetic number, because the mean of its divisors is an integer number (68135909310).

Almost surely, 21968953179674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968953179674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180349097920).

1968953179674 is an abundant number, since it is smaller than the sum of its proper divisors (2391745016166).

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

1968953179674 is a wasteful number, since it uses less digits than its factorization.

1968953179674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823855.

The product of its digits is 617258880, while the sum is 75.

The spelling of 1968953179674 in words is "one trillion, nine hundred sixty-eight billion, nine hundred fifty-three million, one hundred seventy-nine thousand, six hundred seventy-four".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 481 829 962 1443 1658 2487 2886 4974 10777 21554 30673 32331 61346 64662 92019 184038 398749 797498 822971 1196247 1645942 2392494 2468913 4937826 10698623 21397246 30449927 32095869 60899854 64191738 91349781 182699562 395849051 682242959 791698102 1187547153 1364485918 2046728877 2375094306 4093457754 8869158467 17738316934 25242989483 26607475401 50485978966 53214950802 75728968449 151457936898 328158863279 656317726558 984476589837 1968953179674