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29813163000 = 2335315316491
BaseRepresentation
bin11011110001000000…
…001100001111111000
32211221201201121012020
4123301000030033320
5442024132204000
621410155314440
72103540463365
oct336100141770
984851647166
1029813163000
1111709831695
12594044ba20
132a7176926a
14162b6d146c
15b9751eba0
hex6f100c3f8

29813163000 has 128 divisors (see below), whose sum is σ = 93092163840. Its totient is φ = 7943760000.

The previous prime is 29813162963. The next prime is 29813163001. The reversal of 29813163000 is 36131892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29813163001) 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, 4589755 + ... + 4596245.

It is an arithmetic number, because the mean of its divisors is an integer number (727282530).

Almost surely, 229813163000 is an apocalyptic number.

29813163000 is a gapful number since it is divisible by the number (20) 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 29813163000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46546081920).

29813163000 is an abundant number, since it is smaller than the sum of its proper divisors (63279000840).

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

29813163000 is a wasteful number, since it uses less digits than its factorization.

29813163000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 8032 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

Adding to 29813163000 its reverse (36131892), we get a palindrome (29849294892).

The spelling of 29813163000 in words is "twenty-nine billion, eight hundred thirteen million, one hundred sixty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1531 3000 3062 4593 6124 6491 7655 9186 12248 12982 15310 18372 19473 22965 25964 30620 32455 36744 38275 38946 45930 51928 61240 64910 76550 77892 91860 97365 114825 129820 153100 155784 162275 183720 191375 194730 229650 259640 306200 324550 382750 389460 459300 486825 574125 649100 765500 778920 811375 918600 973650 1148250 1298200 1531000 1622750 1947300 2296500 2434125 3245500 3894600 4593000 4868250 6491000 9736500 9937721 19473000 19875442 29813163 39750884 49688605 59626326 79501768 99377210 119252652 149065815 198754420 238505304 248443025 298131630 397508840 496886050 596263260 745329075 993772100 1192526520 1242215125 1490658150 1987544200 2484430250 2981316300 3726645375 4968860500 5962632600 7453290750 9937721000 14906581500 29813163000