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48361650516 = 223253211112007
BaseRepresentation
bin101101000010100101…
…000011100101010100
311121211101222101122100
4231002211003211110
51243021040304031
634114514002100
73331306150434
oct550245034524
9147741871570
1048361650516
1119567988913
129458276330
1347394ca76a
1424aacd62c4
1513d0b1cde6
hexb42943954

48361650516 has 72 divisors (see below), whose sum is σ = 124623442944. Its totient is φ = 15807579840.

The previous prime is 48361650479. The next prime is 48361650517. The reversal of 48361650516 is 61505616384.

48361650516 is a `hidden beast` number, since 4 + 83 + 6 + 1 + 6 + 50 + 516 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48361650517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4021785 + ... + 4033791.

It is an arithmetic number, because the mean of its divisors is an integer number (1730881152).

Almost surely, 248361650516 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 48361650516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62311721472).

48361650516 is an abundant number, since it is smaller than the sum of its proper divisors (76261792428).

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

48361650516 is a wasteful number, since it uses less digits than its factorization.

48361650516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14181 (or 14176 counting only the distinct ones).

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

The spelling of 48361650516 in words is "forty-eight billion, three hundred sixty-one million, six hundred fifty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2111 4222 6333 8444 12007 12666 18999 24014 25332 36021 37998 48028 72042 75996 108063 111883 144084 216126 223766 335649 432252 447532 636371 671298 1006947 1272742 1342596 1909113 2013894 2545484 3818226 4027788 5727339 7636452 11454678 22909356 25346777 50693554 76040331 101387108 152080662 228120993 304161324 456241986 912483972 1343379181 2686758362 4030137543 5373516724 8060275086 12090412629 16120550172 24180825258 48361650516