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5352063948 = 223271112291571
BaseRepresentation
bin1001111110000001…
…00000001111001100
3111210222212000111200
410333000200033030
541430112021243
62243025145500
7246425535660
oct47700401714
914728760450
105352063948
1122a7111950
12105448b290
13673a8835a
1438ab488a0
15214cebad3
hex13f0203cc

5352063948 has 144 divisors (see below), whose sum is σ = 16891580160. Its totient is φ = 1388131200.

The previous prime is 5352063919. The next prime is 5352063953. The reversal of 5352063948 is 8493602535.

5352063948 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 0 + 639 + 4 + 8 = 666.

It is a super-3 number, since 3×53520639483 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3406003 + ... + 3407573.

It is an arithmetic number, because the mean of its divisors is an integer number (117302640).

Almost surely, 25352063948 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 5352063948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445790080).

5352063948 is an abundant number, since it is smaller than the sum of its proper divisors (11539516212).

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

5352063948 is a wasteful number, since it uses less digits than its factorization.

5352063948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 5352063948 is about 73157.8016892252. The cubic root of 5352063948 is about 1749.2038771149.

The spelling of 5352063948 in words is "five billion, three hundred fifty-two million, sixty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1229 1386 1571 2458 2772 3142 3687 4713 4916 6284 7374 8603 9426 10997 11061 13519 14139 14748 17206 17281 18852 21994 22122 25809 27038 28278 32991 34412 34562 40557 43988 44244 51618 51843 54076 56556 65982 69124 77427 81114 94633 98973 103236 103686 120967 121671 131964 154854 155529 162228 189266 197946 207372 241934 243342 283899 309708 311058 362901 378532 395892 483868 486684 567798 622116 725802 851697 1088703 1135596 1451604 1703394 1930759 2177406 3406788 3861518 4354812 5792277 7723036 11584554 13515313 17376831 21238349 23169108 27030626 34753662 40545939 42476698 54061252 63715047 69507324 81091878 84953396 121637817 127430094 148668443 162183756 191145141 243275634 254860188 297336886 382290282 446005329 486551268 594673772 764580564 892010658 1338015987 1784021316 2676031974 5352063948