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46436802064 = 2417231692
BaseRepresentation
bin101011001111110110…
…010101111000010000
311102212021000221221221
4223033312111320100
51230100310131224
633155513454424
73232514206402
oct531766257020
9142767027857
1046436802064
111876a400774
128bbb711414
1344c07a6993
142367400b72
15131bb526e4
hexacfd95e10

46436802064 has 45 divisors (see below), whose sum is σ = 95605221927. Its totient is φ = 21845716992.

The previous prime is 46436802037. The next prime is 46436802079. The reversal of 46436802064 is 46020863464.

The square root of 46436802064 is 215492.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17061584400 + 29375217664 = 130620^2 + 171392^2 .

It is a super-2 number, since 2×464368020642 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 46436802064.

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 8 ways as a sum of consecutive naturals, for example, 14651872 + ... + 14655040.

Almost surely, 246436802064 is an apocalyptic number.

46436802064 is the 215492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46436802064

46436802064 is an abundant number, since it is smaller than the sum of its proper divisors (49168419863).

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

46436802064 is an frugal number, since it uses more digits than its factorization.

46436802064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 46436802064 in words is "forty-six billion, four hundred thirty-six million, eight hundred two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 3169 4624 6338 12676 25352 50704 53873 107746 215492 430984 861968 915841 1831682 3663364 7326728 10042561 14653456 20085122 40170244 80340488 160680976 170723537 341447074 682894148 1365788296 2731576592 2902300129 5804600258 11609200516 23218401032 46436802064