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5061325456 = 241122990149
BaseRepresentation
bin1001011011010110…
…11011001010010000
3111001201202222021101
410231223123022100
540331144403311
62154121434144
7236265361615
oct45553331220
914051688241
105061325456
112167a93800
12b9303b954
13628780c45
143602a650c
151e951bec1
hex12dadb290

5061325456 has 60 divisors (see below), whose sum is σ = 11150653500. Its totient is φ = 2221246720.

The previous prime is 5061325447. The next prime is 5061325463. The reversal of 5061325456 is 6545231605.

It can be written as a sum of positive squares in 2 ways, for example, as 1130035456 + 3931290000 = 33616^2 + 62700^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11070 + ... + 101218.

It is an arithmetic number, because the mean of its divisors is an integer number (185844225).

Almost surely, 25061325456 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 5061325456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575326750).

5061325456 is an abundant number, since it is smaller than the sum of its proper divisors (6089328044).

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

5061325456 is a wasteful number, since it uses less digits than its factorization.

5061325456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90208 (or 90191 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The square root of 5061325456 is about 71142.9930210980. The cubic root of 5061325456 is about 1716.9385617324.

The spelling of 5061325456 in words is "five billion, sixty-one million, three hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 968 1276 1936 2552 3509 5104 7018 14036 28072 56144 90149 180298 360596 721192 991639 1442384 1983278 2614321 3966556 5228642 7933112 10457284 10908029 15866224 20914568 21816058 28757531 41829136 43632116 57515062 87264232 115030124 174528464 230060248 316332841 460120496 632665682 1265331364 2530662728 5061325456