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5364833436 = 22324179139331
BaseRepresentation
bin1001111111100010…
…01101110010011100
3111211212212202221200
410333301031302130
541441344132221
62244202555500
7246642221544
oct47761156234
914755782850
105364833436
112303343846
121058808b90
13676609671
1438c710324
15215ec0426
hex13fc4dc9c

5364833436 has 144 divisors (see below), whose sum is σ = 14211724800. Its totient is φ = 1705017600.

The previous prime is 5364833413. The next prime is 5364833443. The reversal of 5364833436 is 6343384635.

5364833436 is a `hidden beast` number, since 536 + 4 + 83 + 3 + 4 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5364833391 and 5364833400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16207791 + ... + 16208121.

Almost surely, 25364833436 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 5364833436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105862400).

5364833436 is an abundant number, since it is smaller than the sum of its proper divisors (8846891364).

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

5364833436 is a wasteful number, since it uses less digits than its factorization.

5364833436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 595 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The square root of 5364833436 is about 73245.0232848622. The cubic root of 5364833436 is about 1750.5939138981.

The spelling of 5364833436 in words is "five billion, three hundred sixty-four million, eight hundred thirty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 79 82 123 139 158 164 237 246 278 316 331 369 417 474 492 556 662 711 738 834 948 993 1251 1324 1422 1476 1668 1986 2502 2844 2979 3239 3972 5004 5699 5958 6478 9717 10981 11398 11916 12956 13571 17097 19434 21962 22796 26149 27142 29151 32943 34194 38868 40713 43924 46009 51291 52298 54284 58302 65886 68388 78447 81426 92018 98829 102582 104596 116604 122139 131772 138027 156894 162852 184036 197658 205164 235341 244278 276054 313788 395316 414081 450221 470682 488556 552108 828162 900442 941364 1072109 1350663 1656324 1800884 1886369 2144218 2701326 3216327 3634711 3772738 4051989 4288436 5402652 5659107 6432654 7269422 7545476 8103978 9648981 10904133 11318214 12865308 14538844 16207956 16977321 19297962 21808266 22636428 32712399 33954642 38595924 43616532 65424798 67909284 130849596 149023151 298046302 447069453 596092604 894138906 1341208359 1788277812 2682416718 5364833436