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149968041387131 = 11196592707740213
BaseRepresentation
bin100010000110010100100111…
…110101011010010001111011
3201122222210201122201001022002
4202012110213311122101323
5124124034022043342011
61250542211144051215
743405555604056052
oct4206244765322173
9648883648631262
10149968041387131
114386a0a8782410
12149a0989763b0b
13658ac0578a7b6
1429066c5c0b399
15125102d8bac3b
hex886527d5a47b

149968041387131 has 32 divisors (see below), whose sum is σ = 172484087212800. Its totient is φ = 128955116465280.

The previous prime is 149968041387119. The next prime is 149968041387139. The reversal of 149968041387131 is 131783140869941.

149968041387131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 149968041387131 - 238 = 149693163480187 is a prime.

It is a super-2 number, since 2×1499680413871312 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (149968041387139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3729322181 + ... + 3729362393.

It is an arithmetic number, because the mean of its divisors is an integer number (5390127725400).

Almost surely, 2149968041387131 is an apocalyptic number.

149968041387131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

149968041387131 is a deficient number, since it is larger than the sum of its proper divisors (22516045825669).

149968041387131 is a wasteful number, since it uses less digits than its factorization.

149968041387131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67979.

The product of its (nonzero) digits is 31352832, while the sum is 65.

The spelling of 149968041387131 in words is "one hundred forty-nine trillion, nine hundred sixty-eight billion, forty-one million, three hundred eighty-seven thousand, one hundred thirty-one".

Divisors: 1 11 19 209 659 7249 12521 27077 40213 137731 297847 442343 514463 764047 5659093 8404517 17843743 26500367 196281173 291504037 339031117 503506973 1088847401 3729342287 5538576703 11977321411 20688100619 227569106809 717550437259 7893054809849 13633458307921 149968041387131