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148156477921 = 37210121032
BaseRepresentation
bin1000100111111011010…
…0000111000111100001
3112011102021112220000001
42021332310013013201
54411411024243141
6152021231300001
713463312166214
oct2117664070741
9464367486001
10148156477921
1157918518791
122486937a601
1310c816616aa
1472569c977b
153cc1d2aa31
hex227ed071e1

148156477921 has 27 divisors (see below), whose sum is σ = 155299086873. Its totient is φ = 141339319200.

The previous prime is 148156477919. The next prime is 148156477957. The reversal of 148156477921 is 129774651841.

The square root of 148156477921 is 384911.

It is a perfect power (a square), and thus also a powerful number.

148156477921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 110340230625 + 37816247296 = 332175^2 + 194464^2 .

It is not a de Polignac number, because 148156477921 - 21 = 148156477919 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148156477961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1438412356 + ... + 1438412458.

Almost surely, 2148156477921 is an apocalyptic number.

148156477921 is the 384911-st square number.

148156477921 is the 192456-th centered octagonal number.

It is an amenable number.

148156477921 is a deficient number, since it is larger than the sum of its proper divisors (7142608952).

148156477921 is an frugal number, since it uses more digits than its factorization.

148156477921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 55.

The spelling of 148156477921 in words is "one hundred forty-eight billion, one hundred fifty-six million, four hundred seventy-seven thousand, nine hundred twenty-one".

Divisors: 1 37 101 103 1369 3737 3811 10201 10403 10609 138269 141007 377437 384911 392533 1050703 1071509 13965169 14241707 14523721 38876011 39645833 108222409 1438412407 1466895821 4004229133 148156477921