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21971084640 = 2535335913627
BaseRepresentation
bin10100011101100101…
…000010010101100000
32002201012110202001120
4110131211002111200
5324444044202030
614032100332240
71405315065231
oct243545022540
962635422046
1021971084640
11935511709a
1243120a4080
1320c1b698cb
1410c5db5088
15888d1b010
hex51d942560

21971084640 has 96 divisors (see below), whose sum is σ = 69234600960. Its totient is φ = 5856781824.

The previous prime is 21971084621. The next prime is 21971084647. The reversal of 21971084640 is 4648017912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21971084592 and 21971084601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21971084647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605507 + ... + 1619133.

It is an arithmetic number, because the mean of its divisors is an integer number (721193760).

Almost surely, 221971084640 is an apocalyptic number.

21971084640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21971084640 is an abundant number, since it is smaller than the sum of its proper divisors (47263516320).

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

21971084640 is a wasteful number, since it uses less digits than its factorization.

21971084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17004 (or 16996 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 21971084640 in words is "twenty-one billion, nine hundred seventy-one million, eighty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3359 6718 10077 13436 13627 16795 20154 26872 27254 33590 40308 40881 50385 53744 54508 67180 68135 80616 81762 100770 107488 109016 134360 136270 161232 163524 201540 204405 218032 268720 272540 322464 327048 403080 408810 436064 537440 545080 654096 806160 817620 1090160 1308192 1612320 1635240 2180320 3270480 6540960 45773093 91546186 137319279 183092372 228865465 274638558 366184744 457730930 549277116 686596395 732369488 915461860 1098554232 1373192790 1464738976 1830923720 2197108464 2746385580 3661847440 4394216928 5492771160 7323694880 10985542320 21971084640