Search a number
-
+
53742163176 = 23341319335771
BaseRepresentation
bin110010000011010010…
…000101010011101000
312010201101100202110000
4302003102011103220
51340030443210201
640404441023000
73611531564322
oct620322052350
9163641322400
1053742163176
1120879060699
12a4ba184a60
1350b6136970
14285b728612
1515e8188d86
hexc834854e8

53742163176 has 160 divisors (see below), whose sum is σ = 170639330400. Its totient is φ = 15665685120.

The previous prime is 53742163171. The next prime is 53742163183. The reversal of 53742163176 is 67136124735.

53742163176 is a `hidden beast` number, since 5 + 3 + 7 + 4 + 2 + 1 + 631 + 7 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (53742163171) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7830 + ... + 327941.

It is an arithmetic number, because the mean of its divisors is an integer number (1066495815).

Almost surely, 253742163176 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 53742163176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85319665200).

53742163176 is an abundant number, since it is smaller than the sum of its proper divisors (116897167224).

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

53742163176 is a wasteful number, since it uses less digits than its factorization.

53742163176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335821 (or 335808 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 53742163176 in words is "fifty-three billion, seven hundred forty-two million, one hundred sixty-three thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 81 104 108 114 117 152 156 162 171 216 228 234 247 312 324 342 351 456 468 494 513 648 684 702 741 936 988 1026 1053 1368 1404 1482 1539 1976 2052 2106 2223 2808 2964 3078 4104 4212 4446 5928 6156 6669 8424 8892 12312 13338 17784 20007 26676 40014 53352 80028 160056 335771 671542 1007313 1343084 2014626 2686168 3021939 4029252 4365023 6043878 6379649 8058504 8730046 9065817 12087756 12759298 13095069 17460092 18131634 19138947 24175512 25518596 26190138 27197451 34920184 36263268 38277894 39285207 51037192 52380276 54394902 57416841 72526536 76555788 78570414 82935437 104760552 108789804 114833682 117855621 153111576 157140828 165870874 172250523 217579608 229667364 235711242 248806311 314281656 331741748 344501046 353566863 459334728 471422484 497612622 516751569 663483496 689002092 707133726 746418933 942844968 995225244 1033503138 1378004184 1414267452 1492837866 1990450488 2067006276 2239256799 2828534904 2985675732 4134012552 4478513598 5971351464 6717770397 8957027196 13435540794 17914054392 26871081588 53742163176