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151201037466 = 2328400057637
BaseRepresentation
bin1000110011010001001…
…0001011110010011010
3112110021110102112112200
42030310102023302122
54434124431144331
6153243310551030
713631621420133
oct2146422136232
9473243375480
10151201037466
11591400533a6
1225378b08476
1311348347c0b
1474650b0c8a
153dee2725e6
hex233448bc9a

151201037466 has 12 divisors (see below), whose sum is σ = 327602247882. Its totient is φ = 50400345816.

The previous prime is 151201037461. The next prime is 151201037521. The reversal of 151201037466 is 664730102151.

151201037466 is a `hidden beast` number, since 1 + 512 + 0 + 10 + 3 + 74 + 66 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146708150625 + 4492886841 = 383025^2 + 67029^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 151201037466.

It is not an unprimeable number, because it can be changed into a prime (151201037461) 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 5 ways as a sum of consecutive naturals, for example, 4200028801 + ... + 4200028836.

Almost surely, 2151201037466 is an apocalyptic number.

151201037466 is an abundant number, since it is smaller than the sum of its proper divisors (176401210416).

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

151201037466 is a wasteful number, since it uses less digits than its factorization.

151201037466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8400057645 (or 8400057642 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 151201037466 in words is "one hundred fifty-one billion, two hundred one million, thirty-seven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 8400057637 16800115274 25200172911 50400345822 75600518733 151201037466