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45991375936 = 2611224372
BaseRepresentation
bin101010110101010011…
…001011010001000000
311101201012212222011221
4222311103023101000
51223142243012221
633043402444424
73215465150062
oct526523132100
9141635788157
1045991375936
1118560a29500
128ab6503714
13444c41bb1c
1423241b3732
1512e29b9541
hexab54cb440

45991375936 has 63 divisors (see below), whose sum is σ = 100356305637. Its totient is φ = 20896592640.

The previous prime is 45991375933. The next prime is 45991375981. The reversal of 45991375936 is 63957319954.

The square root of 45991375936 is 214456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43313934400 + 2677441536 = 208120^2 + 51744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45991375933) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18870910 + ... + 18873346.

Almost surely, 245991375936 is an apocalyptic number.

45991375936 is the 214456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45991375936

45991375936 is an abundant number, since it is smaller than the sum of its proper divisors (54364929701).

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

45991375936 is an frugal number, since it uses more digits than its factorization.

45991375936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 2450 counting only the distinct ones).

The product of its digits is 27556200, while the sum is 61.

The spelling of 45991375936 in words is "forty-five billion, nine hundred ninety-one million, three hundred seventy-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 2437 3872 4874 7744 9748 19496 26807 38992 53614 77984 107228 155968 214456 294877 428912 589754 857824 1179508 1715648 2359016 4718032 5938969 9436064 11877938 18872128 23755876 47511752 65328659 95023504 130657318 190047008 261314636 380094016 522629272 718615249 1045258544 1437230498 2090517088 2874460996 4181034176 5748921992 11497843984 22995687968 45991375936