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5643015642 = 232111011811559
BaseRepresentation
bin1010100000101100…
…11001010111011010
3112120021022220012100
411100112121113122
543024103000032
62331541224230
7256560561435
oct52026312732
915507286170
105643015642
1124363761a0
121115a02076
136bc138814
143b764481c
1523061e97c
hex1505995da

5643015642 has 96 divisors (see below), whose sum is σ = 13553205120. Its totient is φ = 1682640000.

The previous prime is 5643015641. The next prime is 5643015659. The reversal of 5643015642 is 2465103465.

5643015642 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 0 + 1 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5643015597 and 5643015606.

It is not an unprimeable number, because it can be changed into a prime (5643015641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3618859 + ... + 3620417.

It is an arithmetic number, because the mean of its divisors is an integer number (141179220).

Almost surely, 25643015642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5643015642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776602560).

5643015642 is an abundant number, since it is smaller than the sum of its proper divisors (7910189478).

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

5643015642 is a wasteful number, since it uses less digits than its factorization.

5643015642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5643015642 is about 75120.0082667727. The cubic root of 5643015642 is about 1780.3432871125.

The spelling of 5643015642 in words is "five billion, six hundred forty-three million, fifteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 181 198 202 303 362 543 606 909 1086 1111 1559 1629 1818 1991 2222 3118 3258 3333 3982 4677 5973 6666 9354 9999 11946 14031 17149 17919 18281 19998 28062 34298 35838 36562 51447 54843 102894 109686 154341 157459 164529 201091 282179 308682 314918 329058 402182 472377 564358 603273 846537 944754 1206546 1417131 1693074 1732049 1809819 2539611 2834262 3103969 3464098 3619638 5079222 5196147 6207938 9311907 10392294 15588441 18623814 27935721 28500079 31176882 55871442 57000158 85500237 171000474 256500711 313500869 513001422 627001738 940502607 1881005214 2821507821 5643015642