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29001408804 = 223494612
BaseRepresentation
bin11011000000100111…
…100110000100100100
32202212011021012210000
4123000213212010210
5433343330040204
621153440501300
72044452623154
oct330047460444
982764235700
1029001408804
11113325a2755
12575461a830
13297252c234
141591986764
15b4b125039
hex6c09e6124

29001408804 has 45 divisors (see below), whose sum is σ = 75823425601. Its totient is φ = 9666114480.

The previous prime is 29001408767. The next prime is 29001408811. The reversal of 29001408804 is 40880410092.

The square root of 29001408804 is 170298.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21844248804 + 7157160000 = 147798^2 + 84600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3060634 + ... + 3070094.

Almost surely, 229001408804 is an apocalyptic number.

29001408804 is the 170298-th square number.

It is an amenable number.

29001408804 is an abundant number, since it is smaller than the sum of its proper divisors (46822016797).

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

29001408804 is an frugal number, since it uses more digits than its factorization.

29001408804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18938 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 29001408804 by its sum of digits (36), we get a square (1044050716944 = 10217882).

29001408804 divided by its sum of digits (36) gives a square (805594689 = 283832).

Adding to 29001408804 its reverse (40880410092), we get a palindrome (69881818896).

The spelling of 29001408804 in words is "twenty-nine billion, one million, four hundred eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 9461 18922 28383 37844 56766 85149 113532 170298 255447 340596 510894 766341 1021788 1532682 3065364 89510521 179021042 268531563 358042084 537063126 805594689 1074126252 1611189378 2416784067 3222378756 4833568134 7250352201 9667136268 14500704402 29001408804