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46136462436 = 2234119332
BaseRepresentation
bin101010111101111100…
…101000110001100100
311102002022220010110000
4222331330220301210
51223441413244221
633110024301300
73222206313561
oct527574506144
9142068803400
1046136462436
11186259150a9
128b37011830
1344734ba41c
14233957d868
1513005c7e26
hexabdf28c64

46136462436 has 45 divisors (see below), whose sum is σ = 120619934281. Its totient is φ = 15377532048.

The previous prime is 46136462399. The next prime is 46136462453. The reversal of 46136462436 is 63426463164.

The square root of 46136462436 is 214794.

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

46136462436 is a `hidden beast` number, since 4 + 6 + 13 + 6 + 4 + 624 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38954916900 + 7181545536 = 197370^2 + 84744^2 .

It is a super-2 number, since 2×461364624362 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46136462391 and 46136462400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3860326 + ... + 3872258.

Almost surely, 246136462436 is an apocalyptic number.

46136462436 is the 214794-th square number.

It is an amenable number.

46136462436 is an abundant number, since it is smaller than the sum of its proper divisors (74483471845).

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

46136462436 is an frugal number, since it uses more digits than its factorization.

46136462436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23882 (or 11938 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 46136462436 in words is "forty-six billion, one hundred thirty-six million, four hundred sixty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 11933 23866 35799 47732 71598 107397 143196 214794 322191 429588 644382 966573 1288764 1933146 3866292 142396489 284792978 427189467 569585956 854378934 1281568401 1708757868 2563136802 3844705203 5126273604 7689410406 11534115609 15378820812 23068231218 46136462436