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21255257856 = 283715725183
BaseRepresentation
bin10011110010111010…
…010111111100000000
32000212022111222022110
4103302322113330000
5322012321222411
613433045535320
71351503465540
oct236272277400
960768458273
1021255257856
119018047908
124152414540
132009778771
141058cbb320
1584606e2a6
hex4f2e97f00

21255257856 has 144 divisors (see below), whose sum is σ = 65065785344. Its totient is φ = 6034010112.

The previous prime is 21255257741. The next prime is 21255257869. The reversal of 21255257856 is 65875255212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 831441 + ... + 856623.

Almost surely, 221255257856 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 21255257856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32532892672).

21255257856 is an abundant number, since it is smaller than the sum of its proper divisors (43810527488).

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

21255257856 is a wasteful number, since it uses less digits than its factorization.

21255257856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25366 (or 25352 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 48.

The spelling of 21255257856 in words is "twenty-one billion, two hundred fifty-five million, two hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 157 168 192 224 256 314 336 384 448 471 628 672 768 896 942 1099 1256 1344 1792 1884 2198 2512 2688 3297 3768 4396 5024 5376 6594 7536 8792 10048 13188 15072 17584 20096 25183 26376 30144 35168 40192 50366 52752 60288 70336 75549 100732 105504 120576 140672 151098 176281 201464 211008 281344 302196 352562 402928 422016 528843 604392 705124 805856 844032 1057686 1208784 1410248 1611712 2115372 2417568 2820496 3223424 3953731 4230744 4835136 5640992 6446848 7907462 8461488 9670272 11281984 11861193 15814924 16922976 19340544 22563968 23722386 27676117 31629848 33845952 45127936 47444772 55352234 63259696 67691904 83028351 94889544 110704468 126519392 135383808 166056702 189779088 221408936 253038784 332113404 379558176 442817872 506077568 664226808 759116352 885635744 1012155136 1328453616 1518232704 1771271488 2656907232 3036465408 3542542976 5313814464 7085085952 10627628928 21255257856