Search a number
-
+
13623802000 = 245314234787
BaseRepresentation
bin11001011000000101…
…01011100010010000
31022011110120211221021
430230002223202100
5210400143131000
610131513205224
7661416256234
oct145402534220
938143524837
1013623802000
1158613100a6
122782700814
1313916b2403
1493354a5c4
1554b0c211a
hex32c0ab890

13623802000 has 80 divisors (see below), whose sum is σ = 32972389632. Its totient is φ = 5444553600.

The previous prime is 13623801967. The next prime is 13623802039. The reversal of 13623802000 is 20832631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2843607 + ... + 2848393.

Almost surely, 213623802000 is an apocalyptic number.

13623802000 is a gapful number since it is divisible by the number (10) 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 13623802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16486194816).

13623802000 is an abundant number, since it is smaller than the sum of its proper divisors (19348587632).

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

13623802000 is a wasteful number, since it uses less digits than its factorization.

13623802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 13623802000 in words is "thirteen billion, six hundred twenty-three million, eight hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1423 2000 2846 4787 5692 7115 9574 11384 14230 19148 22768 23935 28460 35575 38296 47870 56920 71150 76592 95740 113840 119675 142300 177875 191480 239350 284600 355750 382960 478700 569200 598375 711500 957400 1196750 1423000 1914800 2393500 2846000 4787000 6811901 9574000 13623802 27247604 34059505 54495208 68119010 108990416 136238020 170297525 272476040 340595050 544952080 681190100 851487625 1362380200 1702975250 2724760400 3405950500 6811901000 13623802000