Search a number
-
+
21545414400 = 283521122157
BaseRepresentation
bin10100000100001101…
…001110111100000000
32001121112111110021010
4110010031032330000
5323111111230100
613521533000520
71361626000146
oct240415167400
961545443233
1021545414400
119156908804
124213623140
13205490b023
14108564b596
15861786750
hex50434ef00

21545414400 has 108 divisors (see below), whose sum is σ = 71104419512. Its totient is φ = 5745438720.

The previous prime is 21545414393. The next prime is 21545414441. The reversal of 21545414400 is 441454512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 541879 + ... + 580278.

Almost surely, 221545414400 is an apocalyptic number.

21545414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21545414400 is an abundant number, since it is smaller than the sum of its proper divisors (49559005112).

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

21545414400 is a wasteful number, since it uses less digits than its factorization.

21545414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122186 (or 1122167 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 21545414400 its reverse (441454512), we get a palindrome (21986868912).

The spelling of 21545414400 in words is "twenty-one billion, five hundred forty-five million, four hundred fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 1122157 2244314 3366471 4488628 5610785 6732942 8977256 11221570 13465884 16832355 17954512 22443140 26931768 28053925 33664710 35909024 44886280 53863536 56107850 67329420 71818048 84161775 89772560 107727072 112215700 134658840 143636096 168323550 179545120 215454144 224431400 269317680 287272192 336647100 359090240 430908288 448862800 538635360 673294200 718180480 861816576 897725600 1077270720 1346588400 1436360960 1795451200 2154541440 2693176800 3590902400 4309082880 5386353600 7181804800 10772707200 21545414400