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4967135152 = 247372714423
BaseRepresentation
bin1001010000001000…
…00111011110110000
3110211011112121110121
410220010013132300
540133041311102
62140514540024
7234042644410
oct45004073660
913734477417
104967135152
112119900181
12b67597614
136120c2935
14351988640
151e1113b37
hex1281077b0

4967135152 has 80 divisors (see below), whose sum is σ = 11340163072. Its totient is φ = 2063128320.

The previous prime is 4967135141. The next prime is 4967135161. The reversal of 4967135152 is 2515317694.

It is a junction number, because it is equal to n+sod(n) for n = 4967135099 and 4967135108.

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, 1120813 + ... + 1125235.

Almost surely, 24967135152 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 4967135152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670081536).

4967135152 is an abundant number, since it is smaller than the sum of its proper divisors (6373027920).

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

4967135152 is a wasteful number, since it uses less digits than its factorization.

4967135152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4740 counting only the distinct ones).

The product of its digits is 226800, while the sum is 43.

The square root of 4967135152 is about 70477.9054172299. The cubic root of 4967135152 is about 1706.2211679671.

The spelling of 4967135152 in words is "four billion, nine hundred sixty-seven million, one hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 271 296 518 542 592 1036 1084 1897 2072 2168 3794 4144 4336 4423 7588 8846 10027 15176 17692 20054 30352 30961 35384 40108 61922 70189 70768 80216 123844 140378 160432 163651 247688 280756 327302 495376 561512 654604 1123024 1145557 1198633 1309208 2291114 2397266 2618416 4582228 4794532 8390431 9164456 9589064 16780862 18328912 19178128 33561724 44349421 67123448 88698842 134246896 177397684 310445947 354795368 620891894 709590736 1241783788 2483567576 4967135152