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21741315684 = 22311315990053
BaseRepresentation
bin10100001111111000…
…100010011001100100
32002010012010021022020
4110033320202121210
5324011234100214
613553211503140
71366525064004
oct241770423144
962105107266
1021741315684
1192474512a0
124269157ab0
13208638b84a
1410a3684004
15873a814a9
hex50fe22664

21741315684 has 96 divisors (see below), whose sum is σ = 58095636480. Its totient is φ = 6267619200.

The previous prime is 21741315559. The next prime is 21741315697. The reversal of 21741315684 is 48651314712.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196402 + ... + 286454.

It is an arithmetic number, because the mean of its divisors is an integer number (605162880).

Almost surely, 221741315684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21741315684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29047818240).

21741315684 is an abundant number, since it is smaller than the sum of its proper divisors (36354320796).

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

21741315684 is a wasteful number, since it uses less digits than its factorization.

21741315684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90161 (or 90159 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 21741315684 in words is "twenty-one billion, seven hundred forty-one million, three hundred fifteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 59 62 66 93 118 124 132 177 186 236 341 354 372 649 682 708 1023 1298 1364 1829 1947 2046 2596 3658 3894 4092 5487 7316 7788 10974 20119 21948 40238 60357 80476 90053 120714 180106 241428 270159 360212 540318 990583 1080636 1981166 2791643 2971749 3962332 5313127 5583286 5943498 8374929 10626254 11166572 11886996 15939381 16749858 21252508 30708073 31878762 33499716 58444397 61416146 63757524 92124219 116888794 122832292 164706937 175333191 184248438 233777588 329413874 350666382 368496876 494120811 658827748 701332764 988241622 1811776307 1976483244 3623552614 5435328921 7247105228 10870657842 21741315684