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5613471468 = 223211175315733
BaseRepresentation
bin1010011101001011…
…01100011011101100
3112111012201220012200
411032211230123230
542444022041333
62325004101500
7256051502013
oct51645543354
915435656180
105613471468
112420727220
121107b34890
136b5c93167
143b3753a7a
1522cc35c13
hex14e96c6ec

5613471468 has 144 divisors (see below), whose sum is σ = 16700445216. Its totient is φ = 1570682880.

The previous prime is 5613471443. The next prime is 5613471481. The reversal of 5613471468 is 8641743165.

5613471468 is a `hidden beast` number, since 56 + 134 + 7 + 1 + 468 = 666.

It is a super-2 number, since 2×56134714682 = 63022123844100150048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348930 + ... + 364662.

It is an arithmetic number, because the mean of its divisors is an integer number (115975314).

Almost surely, 25613471468 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 5613471468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8350222608).

5613471468 is an abundant number, since it is smaller than the sum of its proper divisors (11086973748).

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

5613471468 is a wasteful number, since it uses less digits than its factorization.

5613471468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15824 (or 15819 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 5613471468 is about 74923.1036997267. The cubic root of 5613471468 is about 1777.2308358237.

The spelling of 5613471468 in words is "five billion, six hundred thirteen million, four hundred seventy-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 53 66 68 99 102 106 132 153 159 187 198 204 212 306 318 374 396 477 561 583 612 636 748 901 954 1122 1166 1683 1749 1802 1908 2244 2332 2703 3366 3498 3604 5247 5406 6732 6996 8109 9911 10494 10812 15733 16218 19822 20988 29733 31466 32436 39644 47199 59466 62932 89199 94398 118932 141597 173063 178398 188796 267461 283194 346126 356796 519189 534922 566388 692252 802383 833849 1038378 1069844 1557567 1604766 1667698 2076756 2407149 2501547 2942071 3115134 3209532 3335396 4814298 5003094 5884142 6230268 7504641 8826213 9172339 9628596 10006188 11768284 14175433 15009282 17652426 18344678 26478639 27517017 28350866 30018564 35304852 36689356 42526299 52957278 55034034 56701732 82551051 85052598 105914556 110068068 127578897 155929763 165102102 170105196 255157794 311859526 330204204 467789289 510315588 623719052 935578578 1403367867 1871157156 2806735734 5613471468