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21285663720 = 2335238099533
BaseRepresentation
bin10011110100101110…
…010111001111101000
32000221102201202022120
4103310232113033220
5322043112214340
613440053351240
71352323104426
oct236456271750
960842652276
1021285663720
119033225222
124160638520
132012b633b9
14105cd54116
15848a784d0
hex4f4b973e8

21285663720 has 128 divisors (see below), whose sum is σ = 66722745600. Its totient is φ = 5422106624.

The previous prime is 21285663683. The next prime is 21285663731. The reversal of 21285663720 is 2736658212.

It is a super-3 number, since 3×212856637203 (a number of 32 digits) contains 333 as substring.

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, 2228074 + ... + 2237606.

It is an arithmetic number, because the mean of its divisors is an integer number (521271450).

Almost surely, 221285663720 is an apocalyptic number.

21285663720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21285663720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33361372800).

21285663720 is an abundant number, since it is smaller than the sum of its proper divisors (45437081880).

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

21285663720 is a wasteful number, since it uses less digits than its factorization.

21285663720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10379 (or 10375 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 21285663720 in words is "twenty-one billion, two hundred eighty-five million, six hundred sixty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 809 920 1380 1618 2427 2760 3236 4045 4854 6472 8090 9533 9708 12135 16180 18607 19066 19416 24270 28599 32360 37214 38132 47665 48540 55821 57198 74428 76264 93035 95330 97080 111642 114396 142995 148856 186070 190660 219259 223284 228792 279105 285990 372140 381320 438518 446568 558210 571980 657777 744280 877036 1096295 1116420 1143960 1315554 1754072 2192590 2232840 2631108 3288885 4385180 5262216 6577770 7712197 8770360 13155540 15424394 23136591 26311080 30848788 38560985 46273182 61697576 77121970 92546364 115682955 154243940 177380531 185092728 231365910 308487880 354761062 462731820 532141593 709522124 886902655 925463640 1064283186 1419044248 1773805310 2128566372 2660707965 3547610620 4257132744 5321415930 7095221240 10642831860 21285663720