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21425524000 = 255343124567
BaseRepresentation
bin10011111101000011…
…111000110100100000
32001022011220101112221
4103331003320310200
5322334413232000
613502011200424
71355641643356
oct237503706440
961264811487
1021425524000
1190a5171331
12419b446114
132035b21c6a
14107375d7d6
15855ea361a
hex4fd0f8d20

21425524000 has 96 divisors (see below), whose sum is σ = 53867189376. Its totient is φ = 8370835200.

The previous prime is 21425523989. The next prime is 21425524049. The reversal of 21425524000 is 42552412.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109717 + ... + 234283.

It is an arithmetic number, because the mean of its divisors is an integer number (561116556).

Almost surely, 221425524000 is an apocalyptic number.

21425524000 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 21425524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26933594688).

21425524000 is an abundant number, since it is smaller than the sum of its proper divisors (32441665376).

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

21425524000 is a wasteful number, since it uses less digits than its factorization.

21425524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124635 (or 124617 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 21425524000 in words is "twenty-one billion, four hundred twenty-five million, five hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 8600 10750 17200 21500 34400 43000 86000 124567 172000 249134 498268 622835 996536 1245670 1993072 2491340 3114175 3986144 4982680 5356381 6228350 9965360 10712762 12456700 15570875 19930720 21425524 24913400 26781905 31141750 42851048 49826800 53563810 62283500 85702096 99653600 107127620 124567000 133909525 171404192 214255240 249134000 267819050 428510480 498268000 535638100 669547625 857020960 1071276200 1339095250 2142552400 2678190500 4285104800 5356381000 10712762000 21425524000