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21017540900040 = 2335199218219693
BaseRepresentation
bin1001100011101100001110…
…00011110011010011001000
32202102020221120011222102020
410301312013003303103020
510223322410432300130
6112411154111004440
74266316153663116
oct461660703632310
982366846158366
1021017540900040
116773541a03833
12243540bb09720
13b95c3a648169
1452937c144ab6
15266aab51ae10
hex131d870f34c8

21017540900040 has 64 divisors (see below), whose sum is σ = 66371181796800. Its totient is φ = 5309694542592.

The previous prime is 21017540900017. The next prime is 21017540900101. The reversal of 21017540900040 is 4000904571012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21017540899974 and 21017540900010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4609107567 + ... + 4609112126.

It is an arithmetic number, because the mean of its divisors is an integer number (1037049715575).

Almost surely, 221017540900040 is an apocalyptic number.

21017540900040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21017540900040 is an abundant number, since it is smaller than the sum of its proper divisors (45353640896760).

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

21017540900040 is a wasteful number, since it uses less digits than its factorization.

21017540900040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9218219726 (or 9218219722 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 21017540900040 in words is "twenty-one trillion, seventeen billion, five hundred forty million, nine hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 9218219693 18436439386 27654659079 36872878772 46091098465 55309318158 73745757544 92182196930 110618636316 138273295395 175146174167 184364393860 221237272632 276546590790 350292348334 368728787720 525438522501 553093181580 700584696668 875730870835 1050877045002 1106186363160 1401169393336 1751461741670 2101754090004 2627192612505 3502923483340 4203508180008 5254385225010 7005846966680 10508770450020 21017540900040