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424525362816 = 2734787726821
BaseRepresentation
bin1100010110101111010…
…11101111011010000000
31111120202220100212222210
412023113223233122000
523423411443102231
6523005123502120
742446064021342
oct6132753573200
91446686325883
10424525362816
11154049555495
126a338827940
133105672cb49
14167934b7292
15b099ab2a46
hex62d7aef680

424525362816 has 128 divisors (see below), whose sum is σ = 1152994095360. Its totient is φ = 138334556160.

The previous prime is 424525362803. The next prime is 424525362883. The reversal of 424525362816 is 618263525424.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 15814686 + ... + 15841506.

It is an arithmetic number, because the mean of its divisors is an integer number (9007766370).

Almost surely, 2424525362816 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 424525362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576497047680).

424525362816 is an abundant number, since it is smaller than the sum of its proper divisors (728468732544).

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

424525362816 is a wasteful number, since it uses less digits than its factorization.

424525362816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27762 (or 27750 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 48.

The spelling of 424525362816 in words is "four hundred twenty-four billion, five hundred twenty-five million, three hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 877 1128 1504 1754 2256 2631 3008 3508 4512 5262 6016 7016 9024 10524 14032 18048 21048 26821 28064 41219 42096 53642 56128 80463 82438 84192 107284 112256 123657 160926 164876 168384 214568 247314 321852 329752 336768 429136 494628 643704 659504 858272 989256 1260587 1287408 1319008 1716544 1978512 2521174 2574816 2638016 3433088 3781761 3957024 5042348 5149632 5276032 7563522 7914048 10084696 10299264 15127044 15828096 20169392 23522017 30254088 40338784 47044034 60508176 70566051 80677568 94088068 121016352 141132102 161355136 188176136 242032704 282264204 376352272 484065408 564528408 752704544 1105534799 1129056816 1505409088 2211069598 2258113632 3010818176 3316604397 4422139196 4516227264 6633208794 8844278392 9032454528 13266417588 17688556784 26532835176 35377113568 53065670352 70754227136 106131340704 141508454272 212262681408 424525362816