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1056060500500 = 22532339064897
BaseRepresentation
bin11110101111000100001…
…11000110101000010100
310201221212200010220212101
433113202013012220110
5114300302442004000
62125051505331444
7136204110100315
oct17274207065024
93657780126771
101056060500500
11377966691745
12150808636b84
13787807c8025
1439183a1460c
151c70d1e4e6a
hexf5e21c6a14

1056060500500 has 48 divisors (see below), whose sum is σ = 2316335256144. Its totient is φ = 420611174400.

The previous prime is 1056060500491. The next prime is 1056060500519. The reversal of 1056060500500 is 50050606501.

It can be written as a sum of positive squares in 8 ways, for example, as 164988691344 + 891071809156 = 406188^2 + 943966^2 .

It is a super-3 number, since 3×10560605005003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4415949 + ... + 4648948.

It is an arithmetic number, because the mean of its divisors is an integer number (48256984503).

Almost surely, 21056060500500 is an apocalyptic number.

1056060500500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056060500500 is an abundant number, since it is smaller than the sum of its proper divisors (1260274755644).

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

1056060500500 is a wasteful number, since it uses less digits than its factorization.

1056060500500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065149 (or 9065137 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 1056060500500 in words is "one trillion, fifty-six billion, sixty million, five hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 233 250 466 500 932 1165 2330 4660 5825 11650 23300 29125 58250 116500 9064897 18129794 36259588 45324485 90648970 181297940 226622425 453244850 906489700 1133112125 2112121001 2266224250 4224242002 4532448500 8448484004 10560605005 21121210010 42242420020 52803025025 105606050050 211212100100 264015125125 528030250250 1056060500500