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103687864036 = 2223326912
BaseRepresentation
bin110000010010001000…
…1110011111011100100
3100220122012000020122121
41200210101303323210
53144323043122121
6115344502435324
710330324205461
oct1404421637344
9326565006577
10103687864036
113aa79106a19
1218118a32b44
139a15874503
145038b62668
152a6cda5141
hex1824473ee4

103687864036 has 27 divisors (see below), whose sum is σ = 182499985353. Its totient is φ = 51546720480.

The previous prime is 103687864009. The next prime is 103687864037. The reversal of 103687864036 is 630468786301.

It is a happy number.

The square root of 103687864036 is 322006.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21056912100 + 82630951936 = 145110^2 + 287456^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103687864037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 150054451 + ... + 150055141.

Almost surely, 2103687864036 is an apocalyptic number.

103687864036 is the 322006-th square number.

It is an amenable number.

103687864036 is a deficient number, since it is larger than the sum of its proper divisors (78812121317).

103687864036 is an frugal number, since it uses more digits than its factorization.

103687864036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 103687864036 in words is "one hundred three billion, six hundred eighty-seven million, eight hundred sixty-four thousand, thirty-six".

Divisors: 1 2 4 233 466 691 932 1382 2764 54289 108578 161003 217156 322006 477481 644012 954962 1909924 37513699 75027398 111253073 150054796 222506146 445012292 25921966009 51843932018 103687864036