Search a number
-
+
1037734040740 = 225304917017613
BaseRepresentation
bin11110001100111011100…
…01001101010010100100
310200012120110200022020111
433012131301031102210
5114000234403300430
62112421201542404
7134655005543425
oct17063561152244
93605513608214
101037734040740
113701118a3231
12149153044a04
1376b1ca641b7
1438325ac764c
151bed9352c2a
hexf19dc4d4a4

1037734040740 has 24 divisors (see below), whose sum is σ = 2179956353400. Its totient is φ = 414957451008.

The previous prime is 1037734040737. The next prime is 1037734040741. The reversal of 1037734040740 is 470404377301.

1037734040740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73994404 + 1037660046336 = 8602^2 + 1018656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1037734040693 and 1037734040702.

It is not an unprimeable number, because it can be changed into a prime (1037734040741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8447827 + ... + 8569786.

It is an arithmetic number, because the mean of its divisors is an integer number (90831514725).

Almost surely, 21037734040740 is an apocalyptic number.

1037734040740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1037734040740 is an abundant number, since it is smaller than the sum of its proper divisors (1142222312660).

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

1037734040740 is a wasteful number, since it uses less digits than its factorization.

1037734040740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17020671 (or 17020669 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 40.

The spelling of 1037734040740 in words is "one trillion, thirty-seven billion, seven hundred thirty-four million, forty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 3049 6098 12196 15245 30490 60980 17017613 34035226 68070452 85088065 170176130 340352260 51886702037 103773404074 207546808148 259433510185 518867020370 1037734040740