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389966904252 = 223319267149287
BaseRepresentation
bin1011010110010111101…
…01101011101110111100
31101021120110112022001000
411223023311223232330
522342123011414002
6455052012050300
740113512665002
oct5531365535674
91337513468030
10389966904252
11140425173032
12636b3163990
132aa09b33ab3
1414c358a6a72
15a225b9e61c
hex5acbd6bbbc

389966904252 has 144 divisors (see below), whose sum is σ = 1082970981120. Its totient is φ = 121308609312.

The previous prime is 389966904149. The next prime is 389966904287. The reversal of 389966904252 is 252409669983.

389966904252 is a `hidden beast` number, since 38 + 9 + 96 + 6 + 90 + 425 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 389966904252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2537553 + ... + 2686839.

Almost surely, 2389966904252 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 389966904252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541485490560).

389966904252 is an abundant number, since it is smaller than the sum of its proper divisors (693004076868).

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

389966904252 is a wasteful number, since it uses less digits than its factorization.

389966904252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149405 (or 149378 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 389966904252 in words is "three hundred eighty-nine billion, nine hundred sixty-six million, nine hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 67 76 108 114 134 171 201 228 268 342 361 402 513 603 684 722 804 1026 1083 1206 1273 1444 1809 2052 2166 2412 2546 3249 3618 3819 4332 5092 6498 7236 7638 9747 11457 12996 15276 19494 22914 24187 34371 38988 45828 48374 68742 72561 96748 137484 145122 149287 217683 290244 298574 435366 447861 597148 653049 870732 895722 1306098 1343583 1791444 2612196 2687166 2836453 4030749 5374332 5672906 8061498 8509359 10002229 11345812 16122996 17018718 20004458 25528077 30006687 34037436 40008916 51056154 53892607 60013374 76584231 90020061 102112308 107785214 120026748 153168462 161677821 180040122 190042351 215570428 270060183 306336924 323355642 360080244 380084702 485033463 540120366 570127053 646711284 760169404 970066926 1080240732 1140254106 1455100389 1710381159 1940133852 2280508212 2910200778 3420762318 3610804669 5131143477 5820401556 6841524636 7221609338 10262286954 10832414007 14443218676 20524573908 21664828014 32497242021 43329656028 64994484042 97491726063 129988968084 194983452126 389966904252