Search a number
-
+
13268703600 = 2432523685751
BaseRepresentation
bin11000101101110000…
…00101100101110000
31021020201101222111200
430112320011211300
5204133242003400
610032350211200
7646545056025
oct142670054560
937221358450
1013268703600
115699923449
1226a37b3b00
131335c62709
148dc31354c
15529d2cb00
hex316e05970

13268703600 has 90 divisors (see below), whose sum is σ = 46046099736. Its totient is φ = 3538320000.

The previous prime is 13268703571. The next prime is 13268703601. The reversal of 13268703600 is 630786231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

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 (13268703601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1839276 + ... + 1846475.

Almost surely, 213268703600 is an apocalyptic number.

13268703600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13268703600 is an abundant number, since it is smaller than the sum of its proper divisors (32777396136).

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

13268703600 is a wasteful number, since it uses less digits than its factorization.

13268703600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685775 (or 3685761 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13268703600 in words is "thirteen billion, two hundred sixty-eight million, seven hundred three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 3685751 7371502 11057253 14743004 18428755 22114506 29486008 33171759 36857510 44229012 55286265 58972016 66343518 73715020 88458024 92143775 110572530 132687036 147430040 165858795 176916048 184287550 221145060 265374072 276431325 294860080 331717590 368575100 442290120 530748144 552862650 663435180 737150200 829293975 884580240 1105725300 1326870360 1474300400 1658587950 2211450600 2653740720 3317175900 4422901200 6634351800 13268703600