Search a number
-
+
80413416680751 = 32711420832757329
BaseRepresentation
bin10010010010001010110101…
…001000101110110100101111
3101112201110002021021101121200
4102102022311020232310233
541014443134132241001
6443005225202500543
722636451266663560
oct2222126510566457
9345643067241550
1080413416680751
1123693158385350
1290287aa664753
1335b3c4cca41bb
1415c005c98a167
15946b0e140086
hex4922b522ed2f

80413416680751 has 48 divisors (see below), whose sum is σ = 144817265698560. Its totient is φ = 41772195682560.

The previous prime is 80413416680747. The next prime is 80413416680809. The reversal of 80413416680751 is 15708661431408.

80413416680751 is a `hidden beast` number, since 8 + 0 + 413 + 41 + 66 + 80 + 7 + 51 = 666.

It is not a de Polignac number, because 80413416680751 - 22 = 80413416680747 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80413416680351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27784855 + ... + 30542183.

It is an arithmetic number, because the mean of its divisors is an integer number (3017026368720).

Almost surely, 280413416680751 is an apocalyptic number.

80413416680751 is a deficient number, since it is larger than the sum of its proper divisors (64403849017809).

80413416680751 is a wasteful number, since it uses less digits than its factorization.

80413416680751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799436 (or 2799433 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 80413416680751 in words is "eighty trillion, four hundred thirteen billion, four hundred sixteen million, six hundred eighty thousand, seven hundred fifty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 42083 126249 294581 378747 462913 883743 1388739 2651229 2757329 3240391 4166217 8271987 9721173 19301303 24815961 29163519 30330619 57903909 90991857 173711727 212314333 272975571 636942999 1910828997 116036676307 348110028921 812256734149 1044330086763 1276403439377 2436770202447 3829210318131 7310310607341 8934824075639 11487630954393 26804472226917 80413416680751