Search a number
-
+
56527741000 = 2353199284059
BaseRepresentation
bin110100101001010100…
…001110000001001000
312101220111220202212001
4310221110032001020
51411232100203000
641545105400344
74040544604423
oct645124160110
9171814822761
1056527741000
1121a78488525
12ab570390b4
13543b284573
142a436769ba
15170c9c546a
hexd2950e048

56527741000 has 64 divisors (see below), whose sum is σ = 132940080000. Its totient is φ = 22497393600.

The previous prime is 56527740977. The next prime is 56527741087. The reversal of 56527741000 is 14772565.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56971 + ... + 341029.

It is an arithmetic number, because the mean of its divisors is an integer number (2077188750).

Almost surely, 256527741000 is an apocalyptic number.

56527741000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56527741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66470040000).

56527741000 is an abundant number, since it is smaller than the sum of its proper divisors (76412339000).

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

56527741000 is a wasteful number, since it uses less digits than its factorization.

56527741000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284279 (or 284265 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 56527741000 in words is "fifty-six billion, five hundred twenty-seven million, seven hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 199 200 250 398 500 796 995 1000 1592 1990 3980 4975 7960 9950 19900 24875 39800 49750 99500 199000 284059 568118 1136236 1420295 2272472 2840590 5681180 7101475 11362360 14202950 28405900 35507375 56527741 56811800 71014750 113055482 142029500 226110964 282638705 284059000 452221928 565277410 1130554820 1413193525 2261109640 2826387050 5652774100 7065967625 11305548200 14131935250 28263870500 56527741000