Search a number
-
+
53619882372 = 223271073975009
BaseRepresentation
bin110001111011111111…
…100111100110000100
312010101212021020201100
4301323333213212010
51334303142213442
640344352100100
73605515323450
oct617377474604
9163355236640
1053619882372
1120816031281
12a485234630
1350969c1864
1428493b7660
1515dc58284c
hexc7bfe7984

53619882372 has 144 divisors (see below), whose sum is σ = 156774683520. Its totient is φ = 15135538176.

The previous prime is 53619882347. The next prime is 53619882373. The reversal of 53619882372 is 27328891635.

53619882372 is a `hidden beast` number, since 5 + 3 + 6 + 198 + 82 + 372 = 666.

It is not an unprimeable number, because it can be changed into a prime (53619882373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10702204 + ... + 10707212.

It is an arithmetic number, because the mean of its divisors is an integer number (1088713080).

Almost surely, 253619882372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53619882372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78387341760).

53619882372 is an abundant number, since it is smaller than the sum of its proper divisors (103154801148).

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

53619882372 is a wasteful number, since it uses less digits than its factorization.

53619882372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5525 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 53619882372 in words is "fifty-three billion, six hundred nineteen million, eight hundred eighty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 397 428 642 749 794 963 1191 1284 1498 1588 1926 2247 2382 2779 2996 3573 3852 4494 4764 5009 5558 6741 7146 8337 8988 10018 11116 13482 14292 15027 16674 20036 25011 26964 30054 33348 35063 42479 45081 50022 60108 70126 84958 90162 100044 105189 127437 140252 169916 180324 210378 254874 297353 315567 382311 420756 509748 535963 594706 631134 764622 892059 1071926 1189412 1262268 1529244 1607889 1784118 1988573 2143852 2676177 3215778 3568236 3751741 3977146 4823667 5352354 5965719 6431556 7503482 7954292 9647334 10704708 11255223 11931438 13920011 15006964 17897157 19294668 22510446 23862876 27840022 33765669 35794314 41760033 45020892 55680044 67531338 71588628 83520066 125280099 135062676 167040132 212777311 250560198 425554622 501120396 638331933 851109244 1276663866 1489441177 1914995799 2553327732 2978882354 3829991598 4468323531 5957764708 7659983196 8936647062 13404970593 17873294124 26809941186 53619882372