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56006041500 = 22325331401477
BaseRepresentation
bin110100001010001110…
…000101111110011100
312100120011020200200100
4310022032011332130
51404200021312000
641421231501100
74021611332553
oct641216057634
9170504220610
1056006041500
112182aa4aa12
12aa30387790
135387172636
1429d4272d9a
1516cbcc2a00
hexd0a385f9c

56006041500 has 144 divisors (see below), whose sum is σ = 182380214016. Its totient is φ = 14453136000.

The previous prime is 56006041457. The next prime is 56006041513. The reversal of 56006041500 is 514060065.

It is a happy number.

56006041500 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 604 + 1 + 50 + 0 = 666.

56006041500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 61239 + ... + 340238.

It is an arithmetic number, because the mean of its divisors is an integer number (1266529264).

Almost surely, 256006041500 is an apocalyptic number.

56006041500 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 56006041500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91190107008).

56006041500 is an abundant number, since it is smaller than the sum of its proper divisors (126374172516).

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

56006041500 is a wasteful number, since it uses less digits than its factorization.

56006041500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401533 (or 401518 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 56006041500 in words is "fifty-six billion, six million, forty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 125 150 155 180 186 225 250 279 300 310 372 375 450 465 500 558 620 750 775 900 930 1116 1125 1395 1500 1550 1860 2250 2325 2790 3100 3875 4500 4650 5580 6975 7750 9300 11625 13950 15500 23250 27900 34875 46500 69750 139500 401477 802954 1204431 1605908 2007385 2408862 3613293 4014770 4817724 6022155 7226586 8029540 10036925 12044310 12445787 14453172 18066465 20073850 24088620 24891574 30110775 36132930 37337361 40147700 49783148 50184625 60221550 62228935 72265860 74674722 90332325 100369250 112012083 120443100 124457870 149349444 150553875 180664650 186686805 200738500 224024166 248915740 301107750 311144675 361329300 373373610 448048332 451661625 560060415 602215500 622289350 746747220 903323250 933434025 1120120830 1244578700 1555723375 1806646500 1866868050 2240241660 2800302075 3111446750 3733736100 4667170125 5600604150 6222893500 9334340250 11201208300 14001510375 18668680500 28003020750 56006041500