Search a number
-
+
53166044052 = 223211179538287
BaseRepresentation
bin110001100000111100…
…010111001110010100
312002020020021212120200
4301200330113032110
51332341001402202
640231340500500
73561334626612
oct614074271624
9162206255520
1053166044052
1120602933890
12a37924a730
13502397ca84
142804dda6b2
1515b27d6e1c
hexc60f17394

53166044052 has 144 divisors (see below), whose sum is σ = 155415117312. Its totient is φ = 15145482240.

The previous prime is 53166043943. The next prime is 53166044053. The reversal of 53166044052 is 25044066135.

53166044052 is a `hidden beast` number, since 5 + 3 + 1 + 6 + 604 + 40 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 53166043998 and 53166044016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53166044053) 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, 6411453 + ... + 6419739.

It is an arithmetic number, because the mean of its divisors is an integer number (1079271648).

Almost surely, 253166044052 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 53166044052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77707558656).

53166044052 is an abundant number, since it is smaller than the sum of its proper divisors (102249073260).

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

53166044052 is a wasteful number, since it uses less digits than its factorization.

53166044052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9278 (or 9273 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 53166044052 in words is "fifty-three billion, one hundred sixty-six million, forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 953 1122 1683 1906 2244 2859 3366 3812 5718 6732 8287 8577 10483 11436 16201 16574 17154 20966 24861 31449 32402 33148 34308 41932 48603 49722 62898 64804 74583 91157 94347 97206 99444 125796 140879 145809 149166 178211 182314 188694 194412 273471 281758 291618 298332 356422 364628 377388 422637 534633 546942 563516 583236 712844 820413 845274 1069266 1093884 1267911 1549669 1603899 1640826 1690548 2138532 2535822 3099338 3207798 3281652 4649007 5071644 6198676 6415596 7897511 9298014 13947021 15795022 18596028 23692533 27894042 31590044 47385066 55788084 71077599 86872621 94770132 134257687 142155198 173745242 260617863 268515374 284310396 347490484 402773061 521235726 537030748 781853589 805546122 1042471452 1208319183 1476834557 1563707178 1611092244 2416638366 2953669114 3127414356 4430503671 4833276732 5907338228 8861007342 13291511013 17722014684 26583022026 53166044052