Search a number
-
+
5434811316 = 2234112138629
BaseRepresentation
bin1010000111111000…
…01010001110110100
3112000202120000120000
411003330022032310
542112302430231
62255142511300
7251452063644
oct50374121664
915022500500
105434811316
11233989a200
121078135530
13687c6b0ac
14397b28524
1521c1e46e6
hex143f0a3b4

5434811316 has 90 divisors (see below), whose sum is σ = 15616808130. Its totient is φ = 1646900640.

The previous prime is 5434811309. The next prime is 5434811359. The reversal of 5434811316 is 6131184345.

5434811316 is a `hidden beast` number, since 5 + 43 + 481 + 131 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4802490000 + 632321316 = 69300^2 + 25146^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30111 + ... + 108518.

Almost surely, 25434811316 is an apocalyptic number.

It is an amenable number.

5434811316 is an abundant number, since it is smaller than the sum of its proper divisors (10181996814).

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

5434811316 is a wasteful number, since it uses less digits than its factorization.

5434811316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138667 (or 138645 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5434811316 is about 73721.1727796025. The cubic root of 5434811316 is about 1758.1725302141.

The spelling of 5434811316 in words is "five billion, four hundred thirty-four million, eight hundred eleven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 19602 39204 138629 277258 415887 554516 831774 1247661 1524919 1663548 2495322 3049838 3742983 4574757 4990644 6099676 7485966 9149514 11228949 13724271 14971932 16774109 18299028 22457898 27448542 33548218 41172813 44915796 50322327 54897084 67096436 82345626 100644654 123518439 150966981 164691252 201289308 247036878 301933962 452900943 494073756 603867924 905801886 1358702829 1811603772 2717405658 5434811316