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4961325078 = 2322361712767
BaseRepresentation
bin1001001111011011…
…11101000000010110
3110210202121102112200
410213231331000112
540130044400303
62140150225330
7233642365413
oct44755750026
913722542480
104961325078
1121165a1a66
12b65655246
13610b3a218
14350cb510a
151e08673a3
hex127b7d016

4961325078 has 96 divisors (see below), whose sum is σ = 11565545472. Its totient is φ = 1533470400.

The previous prime is 4961325059. The next prime is 4961325107. The reversal of 4961325078 is 8705231694.

4961325078 is a `hidden beast` number, since 4 + 9 + 6 + 132 + 507 + 8 = 666.

4961325078 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

4961325078 is a nontrivial binomial coefficient, being equal to C(99613, 2).

It is a super-2 number, since 2×49613250782 = 49229493059183412168, which contains 22 as substring.

4961325078 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1791651 + ... + 1794417.

It is an arithmetic number, because the mean of its divisors is an integer number (120474432).

It is a 1-persistent number, because it is pandigital, but 2⋅4961325078 = 9922650156 is not.

Almost surely, 24961325078 is an apocalyptic number.

4961325078 is the 99612-nd triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4961325078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5782772736).

4961325078 is an abundant number, since it is smaller than the sum of its proper divisors (6604220394).

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

4961325078 is a wasteful number, since it uses less digits than its factorization.

4961325078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4961325078 is about 70436.6742400576. The cubic root of 4961325078 is about 1705.5556509470. Note that the first 3 decimals are identical.

It can be divided in two parts, 49613 and 25078, that added together give a triangular number (74691 = T386).

The spelling of 4961325078 in words is "four billion, nine hundred sixty-one million, three hundred twenty-five thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 23 46 61 69 71 122 138 142 183 207 213 366 414 426 549 639 1098 1278 1403 1633 2767 2806 3266 4209 4331 4899 5534 8301 8418 8662 9798 12627 12993 14697 16602 24903 25254 25986 29394 38979 49806 63641 77958 99613 127282 168787 190923 196457 199226 298839 337574 381846 392914 506361 572769 589371 597678 896517 1012722 1145538 1178742 1519083 1768113 1793034 3038166 3536226 3882101 4518511 7764202 9037022 11646303 11983877 13555533 23292606 23967754 27111066 34938909 35951631 40666599 69877818 71903262 81333198 107854893 215709786 275629171 551258342 826887513 1653775026 2480662539 4961325078