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5434652224 = 265314910753
BaseRepresentation
bin1010000111110111…
…00011011001000000
3112000202020221022201
411003323203121000
542112232332344
62255135242544
7251450532061
oct50373433100
915022227281
105434652224
1123397a0721
121078079454
13687c13861
14397ac6568
1521c1b24d4
hex143ee3640

5434652224 has 56 divisors (see below), whose sum is σ = 11062639800. Its totient is φ = 2647916544.

The previous prime is 5434652219. The next prime is 5434652231. The reversal of 5434652224 is 4222564345.

It can be written as a sum of positive squares in 4 ways, for example, as 1561830400 + 3872821824 = 39520^2 + 62232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500032 + ... + 510784.

Almost surely, 25434652224 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 5434652224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531319900).

5434652224 is an abundant number, since it is smaller than the sum of its proper divisors (5627987576).

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

5434652224 is a wasteful number, since it uses less digits than its factorization.

5434652224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10967 (or 10957 counting only the distinct ones).

The product of its digits is 230400, while the sum is 37.

The square root of 5434652224 is about 73720.0937601140. The cubic root of 5434652224 is about 1758.1553745180.

The spelling of 5434652224 in words is "five billion, four hundred thirty-four million, six hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 149 212 298 424 596 848 1192 1696 2384 3392 4768 7897 9536 10753 15794 21506 31588 43012 63176 86024 126352 172048 252704 344096 505408 569909 688192 1139818 1602197 2279636 3204394 4559272 6408788 9118544 12817576 18237088 25635152 36474176 51270304 84916441 102540608 169832882 339665764 679331528 1358663056 2717326112 5434652224