Search a number
-
+
29193900247044 = 223213253213072
BaseRepresentation
bin1101010001101001111000…
…00011011100100000000100
310211100220120002210110111100
412220310330003130200010
512311303101430401134
6142031254223540100
76102122030502651
oct650647403344004
9124326502713440
1029193900247044
119336077673715
123335b8215a630
131339c8583b900
1472cdc6c8ac28
15359601247999
hex1a8d3c0dc804

29193900247044 has 243 divisors, whose sum is σ = 81507470540223. Its totient is φ = 8806509788544.

The previous prime is 29193900246983. The next prime is 29193900247063. The reversal of 29193900247044 is 44074200939192.

The square root of 29193900247044 is 5403138.

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

29193900247044 is a `hidden beast` number, since 2 + 9 + 1 + 9 + 390 + 0 + 247 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 757704093444 + 28436196153600 = 870462^2 + 5332560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22336571839 + ... + 22336573145.

Almost surely, 229193900247044 is an apocalyptic number.

29193900247044 is the 5403138-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29193900247044

29193900247044 is an abundant number, since it is smaller than the sum of its proper divisors (52313570293179).

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

29193900247044 is a wasteful number, since it uses less digits than its factorization.

29193900247044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 29193900247044 in words is "twenty-nine trillion, one hundred ninety-three billion, nine hundred million, two hundred forty-seven thousand, forty-four".