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21241642752 = 283211838133
BaseRepresentation
bin10011110010000110…
…011011111100000000
32000211100220020220100
4103302012123330000
5322000330032002
613431442042400
71351246661421
oct236206337400
960740806810
1021241642752
119010398660
124149949400
1320069bc5a5
141057175648
15844c8011c
hex4f219bf00

21241642752 has 108 divisors (see below), whose sum is σ = 66812689944. Its totient is φ = 6436853760.

The previous prime is 21241642733. The next prime is 21241642769. The reversal of 21241642752 is 25724614212.

21241642752 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 642 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393723 + ... + 444410.

It is an arithmetic number, because the mean of its divisors is an integer number (618636018).

Almost surely, 221241642752 is an apocalyptic number.

21241642752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21241642752 is an abundant number, since it is smaller than the sum of its proper divisors (45571047192).

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

21241642752 is a wasteful number, since it uses less digits than its factorization.

21241642752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838166 (or 838149 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The spelling of 21241642752 in words is "twenty-one billion, two hundred forty-one million, six hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 838133 1676266 2514399 3352532 5028798 6705064 7543197 9219463 10057596 13410128 15086394 18438926 20115192 26820256 27658389 30172788 36877852 40230384 53640512 55316778 60345576 73755704 80460768 82975167 107281024 110633556 120691152 147511408 160921536 165950334 214562048 221267112 241382304 295022816 321843072 331900668 442534224 482764608 590045632 643686144 663801336 885068448 965529216 1180091264 1327602672 1770136896 1931058432 2360182528 2655205344 3540273792 5310410688 7080547584 10620821376 21241642752