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3814136185376 = 251124679210527
BaseRepresentation
bin110111100000001100001…
…110111000001000100000
3111111121221201010122020002
4313200030032320020200
5444442322330413001
612040105011235132
7542363564436416
oct67401416701040
914447851118202
103814136185376
111240625495800
125172565a8aa8
1321889638b3ba
14d28688652b6
1569333aba46b
hex3780c3b8220

3814136185376 has 72 divisors (see below), whose sum is σ = 8255586044160. Its totient is φ = 1733319505280.

The previous prime is 3814136185369. The next prime is 3814136185393. The reversal of 3814136185376 is 6735816314183.

It is a happy number.

It is a super-2 number, since 2×38141361853762 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18011825 + ... + 18222351.

It is an arithmetic number, because the mean of its divisors is an integer number (114660917280).

Almost surely, 23814136185376 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 3814136185376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127793022080).

3814136185376 is an abundant number, since it is smaller than the sum of its proper divisors (4441449858784).

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

3814136185376 is a wasteful number, since it uses less digits than its factorization.

3814136185376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215238 (or 215219 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 56.

The spelling of 3814136185376 in words is "three trillion, eight hundred fourteen billion, one hundred thirty-six million, one hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 4679 9358 18716 37432 51469 74864 102938 149728 205876 210527 411752 421054 566159 823504 842108 1132318 1647008 1684216 2264636 2315797 3368432 4529272 4631594 6736864 9058544 9263188 18117088 18526376 25473767 37052752 50947534 74105504 101895068 203790136 407580272 815160544 985055833 1970111666 3940223332 7880446664 10835614163 15760893328 21671228326 31521786656 43342456652 86684913304 119191755793 173369826608 238383511586 346739653216 476767023172 953534046344 1907068092688 3814136185376