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4965080652 = 223473170619
BaseRepresentation
bin1001001111111000…
…10001111001001100
3110211000200020020000
410213330101321030
540132030040102
62140402524300
7234016326540
oct44774217114
913730606200
104965080652
112118727644
12b66966690
1361185375c
143515b1a20
151e0d5a01c
hex127f11e4c

4965080652 has 120 divisors (see below), whose sum is σ = 15312675840. Its totient is φ = 1372813920.

The previous prime is 4965080629. The next prime is 4965080657. The reversal of 4965080652 is 2560805694.

4965080652 is a `hidden beast` number, since 4 + 96 + 508 + 0 + 6 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4965080598 and 4965080607.

It is not an unprimeable number, because it can be changed into a prime (4965080657) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 34999 + ... + 105617.

It is an arithmetic number, because the mean of its divisors is an integer number (127605632).

Almost surely, 24965080652 is an apocalyptic number.

4965080652 is a gapful number since it is divisible by the number (42) 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 4965080652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656337920).

4965080652 is an abundant number, since it is smaller than the sum of its proper divisors (10347595188).

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

4965080652 is a wasteful number, since it uses less digits than its factorization.

4965080652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70673 (or 70662 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4965080652 is about 70463.3284198242. The cubic root of 4965080652 is about 1705.9858938640.

The spelling of 4965080652 in words is "four billion, nine hundred sixty-five million, eighty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 1116 1134 1302 1674 1953 2268 2511 2604 3348 3906 5022 5859 7812 10044 11718 17577 23436 35154 70308 70619 141238 211857 282476 423714 494333 635571 847428 988666 1271142 1482999 1906713 1977332 2189189 2542284 2965998 3813426 4378378 4448997 5720139 5931996 6567567 7626852 8756756 8897994 11440278 13135134 13346991 15324323 17795988 19702701 22880556 26270268 26693982 30648646 39405402 40040973 45972969 53387964 59108103 61297292 78810804 80081946 91945938 118216206 137918907 160163892 177324309 183891876 236432412 275837814 354648618 413756721 551675628 709297236 827513442 1241270163 1655026884 2482540326 4965080652