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331368264136 = 237132346142929
BaseRepresentation
bin1001101001001110001…
…01100111000111001000
31011200022121211221122201
410310213011213013020
520412120233423021
6412121203525544
732640420525430
oct4644705470710
91150277757581
10331368264136
11118594823438
125427a6898b4
132532b810350
141207719b2c0
1589464ae591
hex4d271671c8

331368264136 has 128 divisors (see below), whose sum is σ = 799693171200. Its totient is φ = 125116231680.

The previous prime is 331368264119. The next prime is 331368264191. The reversal of 331368264136 is 631462863133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7697520 + ... + 7740448.

It is an arithmetic number, because the mean of its divisors is an integer number (6247602900).

Almost surely, 2331368264136 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 331368264136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399846585600).

331368264136 is an abundant number, since it is smaller than the sum of its proper divisors (468324907064).

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

331368264136 is a wasteful number, since it uses less digits than its factorization.

331368264136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43439 (or 43435 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 46.

The spelling of 331368264136 in words is "three hundred thirty-one billion, three hundred sixty-eight million, two hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 182 184 299 322 364 461 598 644 728 922 1196 1288 1844 2093 2392 3227 3688 4186 5993 6454 8372 10603 11986 12908 16744 21206 23972 25816 41951 42412 42929 47944 74221 83902 84824 85858 137839 148442 167804 171716 275678 296884 300503 335608 343432 551356 558077 593768 601006 964873 987367 1102712 1116154 1202012 1929746 1974734 2232308 2404024 3859492 3906539 3949468 4464616 6911569 7718984 7813078 7898936 12835771 13823138 15626156 19790269 25671542 27646276 31252312 39580538 51343084 55292552 79161076 89850397 102686168 138531883 158322152 179700794 257273497 277063766 359401588 455176187 514546994 554127532 718803176 910352374 1029093988 1108255064 1800914479 1820704748 2058187976 3186233309 3601828958 3641409496 5917290431 6372466618 7203657916 11834580862 12744933236 14407315832 23669161724 25489866472 41421033017 47338323448 82842066034 165684132068 331368264136