Search a number
-
+
1070340037632 = 2103383466423
BaseRepresentation
bin11111001001101010011…
…11001101110000000000
310210022201211121120022000
433210311033031300000
5120014024022201012
62135412445344000
7140221011131025
oct17446517156000
93708654546260
101070340037632
11382a240582a8
12153532868000
1379c17cbb998
1439b3a29554c
151cc96b43ddc
hexf9353cdc00

1070340037632 has 176 divisors, whose sum is σ = 3208026958080. Its totient is φ = 352480702464.

The previous prime is 1070340037631. The next prime is 1070340037733. The reversal of 1070340037632 is 2367300430701.

1070340037632 is a `hidden beast` number, since 10 + 7 + 0 + 3 + 4 + 0 + 0 + 3 + 7 + 632 = 666.

It is a super-2 number, since 2×10703400376322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070340037631) by changing a digit.

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, 2061573 + ... + 2527995.

Almost surely, 21070340037632 is an apocalyptic number.

1070340037632 is a gapful number since it is divisible by the number (12) 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 1070340037632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604013479040).

1070340037632 is an abundant number, since it is smaller than the sum of its proper divisors (2137686920448).

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

1070340037632 is an equidigital number, since it uses as much as digits as its factorization.

1070340037632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466535 (or 466511 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 1070340037632 in words is "one trillion, seventy billion, three hundred forty million, thirty-seven thousand, six hundred thirty-two".