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5643156636 = 22321319773821
BaseRepresentation
bin1010100000101101…
…11011110010011100
3112120021121001121100
411100112323302130
543024122003021
62331544233100
7256562016465
oct52026736234
915507531540
105643156636
112436462117
121115a6b790
136bc187a50
143b767dd6c
1523064b626
hex1505bbc9c

5643156636 has 144 divisors (see below), whose sum is σ = 16211089440. Its totient is φ = 1640839680.

The previous prime is 5643156601. The next prime is 5643156671. The reversal of 5643156636 is 6366513465.

5643156636 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 1 + 5 + 6 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (5643156601) and next prime (5643156671).

It is a junction number, because it is equal to n+sod(n) for n = 5643156591 and 5643156600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6873106 + ... + 6873926.

It is an arithmetic number, because the mean of its divisors is an integer number (112577010).

Almost surely, 25643156636 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 5643156636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105544720).

5643156636 is an abundant number, since it is smaller than the sum of its proper divisors (10567932804).

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

5643156636 is a wasteful number, since it uses less digits than its factorization.

5643156636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1631 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 5643156636 is about 75120.9467192740. The cubic root of 5643156636 is about 1780.3581146236.

The spelling of 5643156636 in words is "five billion, six hundred forty-three million, one hundred fifty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 773 821 988 1482 1546 1642 2223 2319 2463 2964 3092 3284 4446 4638 4926 6957 7389 8892 9276 9852 10049 10673 13914 14687 14778 15599 20098 21346 27828 29374 29556 30147 31198 32019 40196 42692 44061 46797 58748 60294 62396 64038 88122 90441 93594 96057 120588 128076 132183 140391 176244 180882 187188 190931 192114 202787 264366 280782 361764 381862 384228 405574 528732 561564 572793 608361 634633 763724 811148 1145586 1216722 1269266 1718379 1825083 1903899 2291172 2433444 2538532 3436758 3650166 3807798 5711697 6873516 7300332 7615596 8250229 11423394 12058027 16500458 22846788 24116054 24750687 33000916 36174081 48232108 49501374 72348162 74252061 99002748 108522243 144696324 148504122 156754351 217044486 297008244 313508702 434088972 470263053 627017404 940526106 1410789159 1881052212 2821578318 5643156636