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5626040364 = 22327431573307
BaseRepresentation
bin1010011110101011…
…01001000000101100
3112112002101110111100
411033111221000230
543010231242424
62330133323100
7256263361020
oct51725510054
915462343440
105626040364
11242783143a
121110196490
136b8774089
143b52a6380
1522ddb9dc9
hex14f56902c

5626040364 has 144 divisors (see below), whose sum is σ = 16741973248. Its totient is φ = 1559585664.

The previous prime is 5626040359. The next prime is 5626040411. The reversal of 5626040364 is 4630406265.

5626040364 is a `hidden beast` number, since 562 + 60 + 4 + 0 + 36 + 4 = 666.

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

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, 1699599 + ... + 1702905.

Almost surely, 25626040364 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 5626040364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370986624).

5626040364 is an abundant number, since it is smaller than the sum of its proper divisors (11115932884).

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

5626040364 is a wasteful number, since it uses less digits than its factorization.

5626040364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5626040364 is about 75006.9354393312. The cubic root of 5626040364 is about 1778.5562888563.

The spelling of 5626040364 in words is "five billion, six hundred twenty-six million, forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 157 172 252 258 301 314 387 471 516 602 628 774 903 942 1099 1204 1413 1548 1806 1884 2198 2709 2826 3297 3307 3612 4396 5418 5652 6594 6614 6751 9891 9921 10836 13188 13228 13502 19782 19842 20253 23149 27004 29763 39564 39684 40506 46298 47257 59526 60759 69447 81012 92596 94514 119052 121518 138894 141771 142201 189028 208341 243036 277788 283542 284402 416682 425313 426603 519199 567084 568804 833364 850626 853206 995407 1038398 1279809 1557597 1701252 1706412 1990814 2076796 2559618 2986221 3115194 3634393 3981628 4672791 5119236 5972442 6230388 7268786 8958663 9345582 10903179 11944884 14537572 17917326 18691164 21806358 22325557 32709537 35834652 43612716 44651114 65419074 66976671 89302228 130838148 133953342 156278899 200930013 267906684 312557798 401860026 468836697 625115596 803720052 937673394 1406510091 1875346788 2813020182 5626040364