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46012824036 = 22341727012
BaseRepresentation
bin101010110110100100…
…111111100111100100
311101202201020122110000
4222312210333213210
51223213240332121
633045450301300
73216145360014
oct526644774744
9141681218400
1046012824036
1118572048803
128b01727830
1344539bb3ca
142326d97c44
1512e4804526
hexab693f9e4

46012824036 has 135 divisors (see below), whose sum is σ = 127961050987. Its totient is φ = 14414803200.

The previous prime is 46012824031. The next prime is 46012824049. The reversal of 46012824036 is 63042821064.

The square root of 46012824036 is 214506.

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

46012824036 is a `hidden beast` number, since 4 + 601 + 2 + 8 + 2 + 40 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19135188900 + 26877635136 = 138330^2 + 163944^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46012824031) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65638486 + ... + 65639186.

Almost surely, 246012824036 is an apocalyptic number.

46012824036 is the 214506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46012824036

46012824036 is an abundant number, since it is smaller than the sum of its proper divisors (81948226951).

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

46012824036 is an equidigital number, since it uses as much as digits as its factorization.

46012824036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 46012824036 by its sum of digits (36), we get a square (1656461665296 = 12870362).

46012824036 divided by its sum of digits (36) gives a square (1278134001 = 357512).

The spelling of 46012824036 in words is "forty-six billion, twelve million, eight hundred twenty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 701 867 918 1156 1377 1402 1734 1836 2103 2601 2754 2804 3468 4206 5202 5508 6309 7803 8412 10404 11917 12618 15606 18927 23409 23834 25236 31212 35751 37854 46818 47668 56781 71502 75708 93636 107253 113562 143004 202589 214506 227124 321759 405178 429012 491401 607767 643518 810356 965277 982802 1215534 1287036 1474203 1823301 1930554 1965604 2431068 2948406 3646602 3861108 4422609 5469903 5896812 7293204 8353817 8845218 10939806 13267827 16409709 16707634 17690436 21879612 25061451 26535654 32819418 33415268 39803481 50122902 53071308 65638836 75184353 79606962 100245804 142014889 150368706 159213924 225553059 284029778 300737412 426044667 451106118 568059556 676659177 852089334 902212236 1278134001 1353318354 1704178668 2556268002 2706636708 3834402003 5112536004 7668804006 11503206009 15337608012 23006412018 46012824036