Search a number
-
+
13646770000 = 24541364677
BaseRepresentation
bin11001011010110100…
…10010111101010000
31022020001210202002221
430231122102331100
5210422033120000
610134053350424
7662115426313
oct145532227520
938201722087
1013646770000
115873278316
12278a338414
131396394746
1493660897a
1554d10c61a
hex32d692f50

13646770000 has 50 divisors (see below), whose sum is σ = 33040219058. Its totient is φ = 5458704000.

The previous prime is 13646769971. The next prime is 13646770063. The reversal of 13646770000 is 7764631.

13646770000 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 5 ways, for example, as 6457086736 + 7189683264 = 80356^2 + 84792^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 672339 + ... + 692338.

Almost surely, 213646770000 is an apocalyptic number.

13646770000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13646770000 is an abundant number, since it is smaller than the sum of its proper divisors (19393449058).

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

13646770000 is an equidigital number, since it uses as much as digits as its factorization.

13646770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364705 (or 1364684 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 13646770000 in words is "thirteen billion, six hundred forty-six million, seven hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1364677 2729354 5458708 6823385 10917416 13646770 21834832 27293540 34116925 54587080 68233850 109174160 136467700 170584625 272935400 341169250 545870800 682338500 852923125 1364677000 1705846250 2729354000 3411692500 6823385000 13646770000