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146161151316 = 22325376604377
BaseRepresentation
bin1000100000011111100…
…0100010110101010100
3111222021012222210110200
42020013320202311110
54343314223320231
6151051232420500
713363003200405
oct2100770426524
9458235883420
10146161151316
1156a94183334
12243b10a7730
1310a2416256b
1471079c99ac
153c06a8cbe6
hex2207e22d54

146161151316 has 36 divisors (see below), whose sum is σ = 376433913492. Its totient is φ = 47801130624.

The previous prime is 146161151299. The next prime is 146161151317. The reversal of 146161151316 is 613151161641.

146161151316 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 611 + 5 + 1 + 31 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130487112900 + 15674038416 = 361230^2 + 125196^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146161151317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38300281 + ... + 38304096.

It is an arithmetic number, because the mean of its divisors is an integer number (10456497597).

Almost surely, 2146161151316 is an apocalyptic number.

It is an amenable number.

146161151316 is an abundant number, since it is smaller than the sum of its proper divisors (230272762176).

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

146161151316 is a wasteful number, since it uses less digits than its factorization.

146161151316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76604440 (or 76604435 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The spelling of 146161151316 in words is "one hundred forty-six billion, one hundred sixty-one million, one hundred fifty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 76604377 153208754 229813131 306417508 459626262 689439393 919252524 1378878786 2757757572 4060031981 8120063962 12180095943 16240127924 24360191886 36540287829 48720383772 73080575658 146161151316