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21281921040 = 2435531673107
BaseRepresentation
bin10011110100100000…
…000101100000010000
32000221011200121022210
4103310200011200100
5322041132433130
613435441232120
71352246226012
oct236440054020
960834617283
1021281921040
1190310a92a6
12415b332640
1320121529b3
14105c65c1b2
158485895b0
hex4f4805810

21281921040 has 80 divisors (see below), whose sum is σ = 67218787008. Its totient is φ = 5568096768.

The previous prime is 21281921039. The next prime is 21281921077. The reversal of 21281921040 is 4012918212.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 21281920989 and 21281921007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823834 + ... + 849273.

Almost surely, 221281921040 is an apocalyptic number.

21281921040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21281921040 is an abundant number, since it is smaller than the sum of its proper divisors (45936865968).

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

21281921040 is a wasteful number, since it uses less digits than its factorization.

21281921040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673176 (or 1673170 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 21281921040 in words is "twenty-one billion, two hundred eighty-one million, nine hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 1673107 3346214 5019321 6692428 8365535 10038642 13384856 16731070 20077284 25096605 26769712 33462140 40154568 50193210 66924280 80309136 88674671 100386420 133848560 177349342 200772840 266024013 354698684 401545680 443373355 532048026 709397368 886746710 1064096052 1330120065 1418794736 1773493420 2128192104 2660240130 3546986840 4256384208 5320480260 7093973680 10640960520 21281921040