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145881205157188 = 22269887929164531
BaseRepresentation
bin100001001010110110011101…
…011010011010110101000100
3201010112002220000022210212101
4201022312131122122311010
5123110104202010012223
61234132522300201444
742504366154222534
oct4112663532326504
9633462800283771
10145881205157188
1142533965217a56
1214440908539284
136352700464aa7
14280498bc474c4
1511cea891c74ad
hex84ad9d69ad44

145881205157188 has 48 divisors (see below), whose sum is σ = 256807732003200. Its totient is φ = 72508944880640.

The previous prime is 145881205157183. The next prime is 145881205157269. The reversal of 145881205157188 is 881751502188541.

It is a happy number.

It is a super-2 number, since 2×1458812051571882 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145881205157183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886566483 + ... + 886731013.

It is an arithmetic number, because the mean of its divisors is an integer number (5350161083400).

Almost surely, 2145881205157188 is an apocalyptic number.

It is an amenable number.

145881205157188 is a deficient number, since it is larger than the sum of its proper divisors (110926526846012).

145881205157188 is a wasteful number, since it uses less digits than its factorization.

145881205157188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166620 (or 166618 counting only the distinct ones).

The product of its (nonzero) digits is 28672000, while the sum is 64.

The spelling of 145881205157188 in words is "one hundred forty-five trillion, eight hundred eighty-one billion, two hundred five million, one hundred fifty-seven thousand, one hundred eighty-eight".

Divisors: 1 2 4 269 538 887 929 1076 1774 1858 3548 3716 164531 238603 249901 329062 477206 499802 658124 824023 954412 999604 1648046 3296092 44258839 88517678 145938997 152849299 177035356 221662187 291877994 305698598 443324374 583755988 611397196 886648748 39257590193 41116461431 78515180386 82232922862 135577328213 157030360772 164465845724 271154656426 542309312852 36470301289297 72940602578594 145881205157188