Search a number
-
+
564156538540 = 225771109520699
BaseRepresentation
bin10000011010110100101…
…10011001111010101100
31222221012001001112221121
420031122112121322230
533220343033213130
61111100412310324
755521216312250
oct10153226317254
91887161045847
10564156538540
111a8291727481
1291406a723a4
1341279a7770a
141d43bb38260
15ea1d22cd7a
hex835a599eac

564156538540 has 96 divisors (see below), whose sum is σ = 1385645184000. Its totient is φ = 188950890240.

The previous prime is 564156538537. The next prime is 564156538573. The reversal of 564156538540 is 45835651465.

564156538540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823111 + ... + 1343809.

It is an arithmetic number, because the mean of its divisors is an integer number (14433804000).

Almost surely, 2564156538540 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 564156538540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692822592000).

564156538540 is an abundant number, since it is smaller than the sum of its proper divisors (821488645460).

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

564156538540 is a wasteful number, since it uses less digits than its factorization.

564156538540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520895 (or 520893 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 52.

The spelling of 564156538540 in words is "five hundred sixty-four billion, one hundred fifty-six million, five hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 109 140 142 218 284 355 436 497 545 710 763 994 1090 1420 1526 1988 2180 2485 3052 3815 4970 7630 7739 9940 15260 15478 30956 38695 54173 77390 108346 154780 216692 270865 520699 541730 1041398 1083460 2082796 2603495 3644893 5206990 7289786 10413980 14579572 18224465 36448930 36969629 56756191 72897860 73939258 113512382 147878516 184848145 227024764 258787403 283780955 369696290 397293337 517574806 567561910 739392580 794586674 1035149612 1135123820 1293937015 1589173348 1986466685 2587874030 3972933370 4029689561 5175748060 7945866740 8059379122 16118758244 20148447805 28207826927 40296895610 56415653854 80593791220 112831307708 141039134635 282078269270 564156538540