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148861057104 = 24323133347011
BaseRepresentation
bin1000101010100011001…
…1110111100001010000
3112020020101100012221100
42022220303313201100
54414331412311404
6152215201024400
713516626052014
oct2125063674120
9466211305840
10148861057104
115814a205531
1224a25325100
1311064615156
1472c23d6544
153d13b04d39
hex22a8cf7850

148861057104 has 60 divisors (see below), whose sum is σ = 430043066752. Its totient is φ = 48019694400.

The previous prime is 148861057091. The next prime is 148861057109. The reversal of 148861057104 is 401750168841.

148861057104 is a `hidden beast` number, since 1 + 488 + 6 + 10 + 57 + 104 = 666.

It is a super-2 number, since 2×1488610571042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148861057104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148861057109) 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 11 ways as a sum of consecutive naturals, for example, 16669042 + ... + 16677969.

Almost surely, 2148861057104 is an apocalyptic number.

It is an amenable number.

148861057104 is an abundant number, since it is smaller than the sum of its proper divisors (281182009648).

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

148861057104 is a wasteful number, since it uses less digits than its factorization.

148861057104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33347056 (or 33347047 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 148861057104 in words is "one hundred forty-eight billion, eight hundred sixty-one million, fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 33347011 66694022 100041033 133388044 200082066 266776088 300123099 400164132 533552176 600246198 800328264 1033757341 1200492396 1600656528 2067514682 2400984792 3101272023 4135029364 4801969584 6202544046 8270058728 9303816069 12405088092 16540117456 18607632138 24810176184 37215264276 49620352368 74430528552 148861057104