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969108144 = 243374113309
BaseRepresentation
bin111001110000110…
…110101010110000
32111112112210110020
4321300312222300
53441042430034
6240055203440
733005166114
oct7160665260
92445483406
10969108144
11458044324
12230676580
13125a12294
14929c9744
155a12d249
hex39c36ab0

969108144 has 80 divisors (see below), whose sum is σ = 2634102240. Its totient is φ = 306616320.

The previous prime is 969108121. The next prime is 969108163. The reversal of 969108144 is 441801969.

969108144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 969108096 and 969108105.

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, 66162 + ... + 79470.

It is an arithmetic number, because the mean of its divisors is an integer number (32926278).

Almost surely, 2969108144 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 969108144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317051120).

969108144 is an abundant number, since it is smaller than the sum of its proper divisors (1664994096).

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

969108144 is a wasteful number, since it uses less digits than its factorization.

969108144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13398 (or 13392 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 969108144 is about 31130.5018269863. The cubic root of 969108144 is about 989.5948224620.

The spelling of 969108144 in words is "nine hundred sixty-nine million, one hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 164 222 246 296 328 444 492 592 656 888 984 1517 1776 1968 3034 4551 6068 9102 12136 13309 18204 24272 26618 36408 39927 53236 72816 79854 106472 159708 212944 319416 492433 545669 638832 984866 1091338 1477299 1637007 1969732 2182676 2954598 3274014 3939464 4365352 5909196 6548028 7878928 8730704 11818392 13096056 20189753 23636784 26192112 40379506 60569259 80759012 121138518 161518024 242277036 323036048 484554072 969108144