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149579975941 = 1153823311749
BaseRepresentation
bin1000101101001110101…
…0010100110100000101
3112022002111010002011221
42023103222110310011
54422314433212231
6152414402000341
713543505550214
oct2132352246405
9468074102157
10149579975941
1158488aa6930
1224ba60460b1
131114a549806
14734da9707b
153d56cb2d11
hex22d3a94d05

149579975941 has 16 divisors (see below), whose sum is σ = 166459536000. Its totient is φ = 133253565120.

The previous prime is 149579975939. The next prime is 149579975969.

149579975941 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 149579975941 - 21 = 149579975939 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149570975941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323935 + ... + 635683.

It is an arithmetic number, because the mean of its divisors is an integer number (10403721000).

Almost surely, 2149579975941 is an apocalyptic number.

149579975941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

149579975941 is a deficient number, since it is larger than the sum of its proper divisors (16879560059).

149579975941 is a wasteful number, since it uses less digits than its factorization.

149579975941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312636.

The product of its digits is 128595600, while the sum is 70.

The spelling of 149579975941 in words is "one hundred forty-nine billion, five hundred seventy-nine million, nine hundred seventy-five thousand, nine hundred forty-one".

Divisors: 1 11 53 583 823 9053 43619 311749 479809 3429239 16522697 181749667 256569427 2822263697 13598179631 149579975941