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238864180053436 = 227231129738477879
BaseRepresentation
bin110110010011111011100110…
…100110100000010110111100
31011022202012012101221110222121
4312103323212212200112330
5222302022320043202221
62204004404530252324
7101212240025206600
oct6623734646402674
91138665171843877
10238864180053436
116a122803511403
122295958a7270a4
13a338a45a0c812
1442db13368b500
151c936137b2a41
hexd93ee69a05bc

238864180053436 has 144 divisors (see below), whose sum is σ = 502526359695360. Its totient is φ = 98953417704960.

The previous prime is 238864180053431. The next prime is 238864180053437. The reversal of 238864180053436 is 634350081468832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238864180053431) 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, 30316556545 + ... + 30316564423.

Almost surely, 2238864180053436 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 238864180053436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251263179847680).

238864180053436 is an abundant number, since it is smaller than the sum of its proper divisors (263662179641924).

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

238864180053436 is a wasteful number, since it uses less digits than its factorization.

238864180053436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13072 (or 13063 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 61.

The spelling of 238864180053436 in words is "two hundred thirty-eight trillion, eight hundred sixty-four billion, one hundred eighty million, fifty-three thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 1297 1519 2594 3038 3847 5188 6076 7694 7879 9079 15388 15758 18158 26929 31516 36316 40207 53858 55153 63553 80414 107716 110306 119257 127106 160828 188503 220612 238514 244249 254212 281449 377006 386071 477028 488498 562898 754012 772142 834799 976996 1125796 1544284 1669598 1709743 1970143 3339196 3419486 3940286 4989559 5843593 6838972 7880572 9979118 10219063 11687186 11968201 19958236 20438126 23374372 23936402 30310513 34926913 40876252 47872804 60621026 69853826 71533441 121242052 139707652 143066882 154676329 212173591 244488391 286133764 309352658 316790953 424347182 488976782 500734087 618705316 633581906 848694364 939625903 977953564 1001468174 1082734303 1267163812 1485215137 1879251806 2002936348 2165468606 2217536671 2970430274 3758503612 4330937212 4435073342 5940860548 6577381321 7579140121 8870146684 13154762642 15158280242 15522756697 26309525284 30316560484 31045513394 39312735361 46041669247 62091026788 78625470722 92083338494 157250941444 184166676988 275189147527 550378295054 1100756590108 1218694796191 1926324032689 2437389592382 3852648065378 4874779184764 7705296130756 8530863573337 17061727146674 34123454293348 59716045013359 119432090026718 238864180053436