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21253470400 = 2652101131519
BaseRepresentation
bin10011110010110011…
…100011100011000000
32000212012011011101101
4103302303203203000
5322011342023100
613432543344144
71351452342361
oct236263434300
960765134341
1021253470400
119017036978
1241518b2054
1320092a0cb6
141058973b68
15845d1986a
hex4f2ce38c0

21253470400 has 84 divisors (see below), whose sum is σ = 52815012480. Its totient is φ = 8417152000.

The previous prime is 21253470361. The next prime is 21253470487. The reversal of 21253470400 is 407435212.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95841 + ... + 227359.

Almost surely, 221253470400 is an apocalyptic number.

21253470400 is a gapful number since it is divisible by the number (20) 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 21253470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26407506240).

21253470400 is an abundant number, since it is smaller than the sum of its proper divisors (31561542080).

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

21253470400 is a wasteful number, since it uses less digits than its factorization.

21253470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131642 (or 131627 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 21253470400 in words is "twenty-one billion, two hundred fifty-three million, four hundred seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 160 200 202 320 400 404 505 800 808 1010 1600 1616 2020 2525 3232 4040 5050 6464 8080 10100 16160 20200 32320 40400 80800 131519 161600 263038 526076 657595 1052152 1315190 2104304 2630380 3287975 4208608 5260760 6575950 8417216 10521520 13151900 13283419 21043040 26303800 26566838 42086080 52607600 53133676 66417095 105215200 106267352 132834190 210430400 212534704 265668380 332085475 425069408 531336760 664170950 850138816 1062673520 1328341900 2125347040 2656683800 4250694080 5313367600 10626735200 21253470400