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145603825938 = 2342101342773
BaseRepresentation
bin1000011110011010101…
…0100001000100010010
3111220211101021201210000
42013212222201010102
54341144034412223
6150520043150430
713343125046154
oct2074652410422
9456741251700
10145603825938
115682862254a
1224276515416
1310965858a2c
147093990ad4
153bc2b9e543
hex21e6aa1112

145603825938 has 40 divisors (see below), whose sum is σ = 326283579468. Its totient is φ = 48531164256.

The previous prime is 145603825933. The next prime is 145603825993. The reversal of 145603825938 is 839528306541.

145603825938 is a `hidden beast` number, since 1 + 4 + 5 + 603 + 8 + 25 + 9 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95612679369 + 49991146569 = 309213^2 + 223587^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (145603825933) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3382720 + ... + 3425492.

Almost surely, 2145603825938 is an apocalyptic number.

145603825938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

145603825938 is an abundant number, since it is smaller than the sum of its proper divisors (180679753530).

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

145603825938 is a wasteful number, since it uses less digits than its factorization.

145603825938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63800 (or 63791 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 145603825938 in words is "one hundred forty-five billion, six hundred three million, eight hundred twenty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 21013 42026 42773 63039 85546 126078 128319 189117 256638 378234 384957 567351 769914 1134702 1154871 1702053 2309742 3404106 3464613 6929226 898789049 1797578098 2696367147 5392734294 8089101441 16178202882 24267304323 48534608646 72801912969 145603825938