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1253663016 = 2331917915359
BaseRepresentation
bin100101010111001…
…0110000100101000
310020100222200100120
41022232112010220
510031414204031
6324222203240
743031650134
oct11256260450
93210880316
101253663016
11593729641
122aba23520
1316c962c48
14bc6dc3c4
15750daa96
hex4ab96128

1253663016 has 64 divisors (see below), whose sum is σ = 3317760000. Its totient is φ = 393656256.

The previous prime is 1253663009. The next prime is 1253663053. The reversal of 1253663016 is 6103663521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73945 + ... + 89303.

It is an arithmetic number, because the mean of its divisors is an integer number (51840000).

Almost surely, 21253663016 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 1253663016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658880000).

1253663016 is an abundant number, since it is smaller than the sum of its proper divisors (2064096984).

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

1253663016 is a wasteful number, since it uses less digits than its factorization.

1253663016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15566 (or 15562 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 1253663016 is about 35407.1040329480. The cubic root of 1253663016 is about 1078.2685493615.

The spelling of 1253663016 in words is "one billion, two hundred fifty-three million, six hundred sixty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 179 228 358 456 537 716 1074 1432 2148 3401 4296 6802 10203 13604 15359 20406 27208 30718 40812 46077 61436 81624 92154 122872 184308 291821 368616 583642 875463 1167284 1750926 2334568 2749261 3501852 5498522 7003704 8247783 10997044 16495566 21994088 32991132 52235959 65982264 104471918 156707877 208943836 313415754 417887672 626831508 1253663016