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45424531131012 = 223211599191499853
BaseRepresentation
bin10100101010000001110010…
…00010101100101010000100
312221211112122200021002012100
422111000321002230222010
521423213414432143022
6240335424100152100
712365546140633245
oct1225007102545204
9187745580232170
1045424531131012
1113523487676820
1251176b3698630
131c4669032b1a7
14b307b7ddaccc
1553b8e27901ac
hex2950390aca84

45424531131012 has 72 divisors (see below), whose sum is σ = 125470704340800. Its totient is φ = 13742029379520.

The previous prime is 45424531130977. The next prime is 45424531131019. The reversal of 45424531131012 is 21013113542454.

45424531131012 is a `hidden beast` number, since 4 + 5 + 4 + 2 + 4 + 531 + 13 + 101 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45424531131019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95512723 + ... + 95987130.

It is an arithmetic number, because the mean of its divisors is an integer number (1742648671400).

Almost surely, 245424531131012 is an apocalyptic number.

It is an amenable number.

45424531131012 is an abundant number, since it is smaller than the sum of its proper divisors (80046173209788).

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

45424531131012 is a wasteful number, since it uses less digits than its factorization.

45424531131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191500473 (or 191500468 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 45424531131012 its reverse (21013113542454), we get a palindrome (66437644673466).

The spelling of 45424531131012 in words is "forty-five trillion, four hundred twenty-four billion, five hundred thirty-one million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 599 1198 1797 2396 3594 5391 6589 7188 10782 13178 19767 21564 26356 39534 59301 79068 118602 237204 191499853 382999706 574499559 765999412 1148999118 1723498677 2106498383 2297998236 3446997354 4212996766 6319495149 6893994708 8425993532 12638990298 18958485447 25277980596 37916970894 75833941788 114708411947 229416823894 344125235841 458833647788 688250471682 1032375707523 1261792531417 1376500943364 2064751415046 2523585062834 3785377594251 4129502830092 5047170125668 7570755188502 11356132782753 15141510377004 22712265565506 45424531131012