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21519281040 = 2435217941149
BaseRepresentation
bin10100000010101001…
…100010101110010000
32001112201022202000220
4110002221202232100
5323032413443130
613515200513040
71361160604455
oct240251425620
961481282026
1021519281040
119143089394
12420691b780
13204c38acba
141081da782c
1585e323410
hex502a62b90

21519281040 has 80 divisors (see below), whose sum is σ = 66742008000. Its totient is φ = 5735702016.

The previous prime is 21519281029. The next prime is 21519281057. The reversal of 21519281040 is 4018291512.

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

It is a junction number, because it is equal to n+sod(n) for n = 21519280992 and 21519281010.

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, 502386 + ... + 543534.

It is an arithmetic number, because the mean of its divisors is an integer number (834275100).

Almost surely, 221519281040 is an apocalyptic number.

21519281040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21519281040 is an abundant number, since it is smaller than the sum of its proper divisors (45222726960).

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

21519281040 is a wasteful number, since it uses less digits than its factorization.

21519281040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43344 (or 43338 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 21519281040 in words is "twenty-one billion, five hundred nineteen million, two hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2179 4358 6537 8716 10895 13074 17432 21790 26148 32685 34864 41149 43580 52296 65370 82298 87160 104592 123447 130740 164596 174320 205745 246894 261480 329192 411490 493788 522960 617235 658384 822980 987576 1234470 1645960 1975152 2468940 3291920 4937880 9875760 89663671 179327342 268991013 358654684 448318355 537982026 717309368 896636710 1075964052 1344955065 1434618736 1793273420 2151928104 2689910130 3586546840 4303856208 5379820260 7173093680 10759640520 21519281040