Search a number
-
+
46445115630 = 23519210142461
BaseRepresentation
bin101011010000010110…
…000011100011101110
311102212211200100000210
4223100112003203232
51230104422200010
633200412003250
73232644653244
oct532026034356
9142784610023
1046445115630
1118774069891
129002460526
1344c2427a54
142368566794
15131c745b20
hexad05838ee

46445115630 has 96 divisors (see below), whose sum is σ = 118811393568. Its totient is φ = 11617056000.

The previous prime is 46445115623. The next prime is 46445115637. The reversal of 46445115630 is 3651154464.

It is an interprime number because it is at equal distance from previous prime (46445115623) and next prime (46445115637).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46445115637) 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 47 ways as a sum of consecutive naturals, for example, 1072600 + ... + 1115060.

It is an arithmetic number, because the mean of its divisors is an integer number (1237618683).

Almost surely, 246445115630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46445115630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59405696784).

46445115630 is an abundant number, since it is smaller than the sum of its proper divisors (72366277938).

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

46445115630 is a wasteful number, since it uses less digits than its factorization.

46445115630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42610 (or 42591 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 46445115630 in words is "forty-six billion, four hundred forty-five million, one hundred fifteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 101 114 190 202 285 303 361 505 570 606 722 1010 1083 1515 1805 1919 2166 3030 3610 3838 5415 5757 9595 10830 11514 19190 28785 36461 42461 57570 72922 84922 109383 127383 182305 212305 218766 254766 364610 424610 546915 636915 806759 1093830 1273830 1613518 2420277 4033795 4288561 4840554 8067590 8577122 12101385 12865683 15328421 21442805 24202770 25731366 30656842 42885610 45985263 64328415 76642105 81482659 91970526 128656830 153284210 162965318 229926315 244447977 407413295 459852630 488895954 814826590 1222239885 1548170521 2444479770 3096341042 4644511563 7740852605 9289023126 15481705210 23222557815 46445115630