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21241651032 = 2333714599629
BaseRepresentation
bin10011110010000110…
…011101111101011000
32000211100220200021000
4103302012131331120
5322000330313112
613431442145000
71351250024520
oct236206357530
960740820230
1021241651032
1190103a38a8
124149952160
1320069c32a4
141057178680
15844c827dc
hex4f219df58

21241651032 has 128 divisors (see below), whose sum is σ = 67487040000. Its totient is φ = 6064253568.

The previous prime is 21241651031. The next prime is 21241651087. The reversal of 21241651032 is 23015614212.

21241651032 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 651 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21241650987 and 21241651005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21241651031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2201194 + ... + 2210822.

It is an arithmetic number, because the mean of its divisors is an integer number (527242500).

Almost surely, 221241651032 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 21241651032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33743520000).

21241651032 is an abundant number, since it is smaller than the sum of its proper divisors (46245388968).

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

21241651032 is a wasteful number, since it uses less digits than its factorization.

21241651032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11110 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 21241651032 in words is "twenty-one billion, two hundred forty-one million, six hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1459 1512 2918 4377 5836 8754 9629 10213 11672 13131 17508 19258 20426 26262 28887 30639 35016 38516 39393 40852 52524 57774 61278 67403 77032 78786 81704 86661 91917 105048 115548 122556 134806 157572 173322 183834 202209 231096 245112 259983 269612 275751 315144 346644 367668 404418 519966 539224 551502 606627 693288 735336 808836 1039932 1103004 1213254 1617672 1819881 2079864 2206008 2426508 3639762 4853016 7279524 14048711 14559048 28097422 42146133 56194844 84292266 98340977 112389688 126438399 168584532 196681954 252876798 295022931 337169064 379315197 393363908 505753596 590045862 758630394 786727816 885068793 1011507192 1180091724 1517260788 1770137586 2360183448 2655206379 3034521576 3540275172 5310412758 7080550344 10620825516 21241651032