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21334052400 = 2435217778377
BaseRepresentation
bin10011110111100110…
…111100111000110000
32001001210210011002220
4103313212330320300
5322143004134100
613444542441040
71353451311333
oct236746747060
961053704086
1021334052400
119058575371
124174893180
13201cba625b
14106554c61a
1584ce35aa0
hex4f79bce30

21334052400 has 60 divisors (see below), whose sum is σ = 68340085032. Its totient is φ = 5689080320.

The previous prime is 21334052371. The next prime is 21334052401. The reversal of 21334052400 is 425043312.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21334052401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8887989 + ... + 8890388.

Almost surely, 221334052400 is an apocalyptic number.

21334052400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21334052400 is an abundant number, since it is smaller than the sum of its proper divisors (47006032632).

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

21334052400 is a wasteful number, since it uses less digits than its factorization.

21334052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17778398 (or 17778387 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 21334052400 its reverse (425043312), we get a palindrome (21759095712).

The spelling of 21334052400 in words is "twenty-one billion, three hundred thirty-four million, fifty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17778377 35556754 53335131 71113508 88891885 106670262 142227016 177783770 213340524 266675655 284454032 355567540 426681048 444459425 533351310 711135080 853362096 888918850 1066702620 1333378275 1422270160 1777837700 2133405240 2666756550 3555675400 4266810480 5333513100 7111350800 10667026200 21334052400