Search a number
-
+
21309969600 = 2632521479859
BaseRepresentation
bin10011110110001011…
…000101010011000000
32001000010110121201100
4103312023011103000
5322120323011400
613442322334400
71353036516153
oct236613052300
961003417640
1021309969600
119045a16627
1241687ba400
132017bc368a
14106227dc9a
1584ac7a100
hex4f62c54c0

21309969600 has 126 divisors (see below), whose sum is σ = 75740714660. Its totient is φ = 5682654720.

The previous prime is 21309969599. The next prime is 21309969641. The reversal of 21309969600 is 696990312.

It is a happy number.

21309969600 is a `hidden beast` number, since 2 + 1 + 30 + 9 + 9 + 6 + 9 + 600 = 666.

It is a super-2 number, since 2×213099696002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 725530 + ... + 754329.

Almost surely, 221309969600 is an apocalyptic number.

21309969600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21309969600 is an abundant number, since it is smaller than the sum of its proper divisors (54430745060).

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

21309969600 is a wasteful number, since it uses less digits than its factorization.

21309969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479887 (or 1479869 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 21309969600 in words is "twenty-one billion, three hundred nine million, nine hundred sixty-nine thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 1479859 2959718 4439577 5919436 7399295 8879154 11838872 13318731 14798590 17758308 22197885 23677744 26637462 29597180 35516616 36996475 44395770 47355488 53274924 59194360 66593655 71033232 73992950 88791540 94710976 106549848 110989425 118388720 133187310 142066464 147985900 177583080 213099696 221978850 236777440 266374620 284132928 295971800 332968275 355166160 426199392 443957700 473554880 532749240 591943600 665936550 710332320 852398784 887915400 1065498480 1183887200 1331873100 1420664640 1775830800 2130996960 2367774400 2663746200 3551661600 4261993920 5327492400 7103323200 10654984800 21309969600