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149025420468 = 2232173173107603
BaseRepresentation
bin1000101011001010011…
…0110111010010110100
3112020122211121202002100
42022302212313102310
54420201001423333
6152243351542100
713523663113341
oct2126246672264
9466584552070
10149025420468
1158223a68121
1224a7038a930
131108c6a2992
1472da17d7c8
153d23270213
hex22b29b74b4

149025420468 has 144 divisors (see below), whose sum is σ = 417372673536. Its totient is φ = 44624701440.

The previous prime is 149025420463. The next prime is 149025420491. The reversal of 149025420468 is 864024520941.

It is a happy number.

149025420468 is a `hidden beast` number, since 1 + 49 + 0 + 2 + 542 + 0 + 4 + 68 = 666.

149025420468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149025420463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1331155 + ... + 1438757.

It is an arithmetic number, because the mean of its divisors is an integer number (2898421344).

Almost surely, 2149025420468 is an apocalyptic number.

149025420468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149025420468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208686336768).

149025420468 is an abundant number, since it is smaller than the sum of its proper divisors (268347253068).

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

149025420468 is a wasteful number, since it uses less digits than its factorization.

149025420468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107734 (or 107729 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 149025420468 in words is "one hundred forty-nine billion, twenty-five million, four hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 73 93 102 124 146 153 186 204 219 279 292 306 372 438 527 558 612 657 876 1054 1116 1241 1314 1581 2108 2263 2482 2628 3162 3723 4526 4743 4964 6324 6789 7446 9052 9486 11169 13578 14892 18972 20367 22338 27156 38471 40734 44676 76942 81468 107603 115413 153884 215206 230826 322809 346239 430412 461652 645618 692478 968427 1291236 1384956 1829251 1936854 3335693 3658502 3873708 5487753 6671386 7317004 7855019 10007079 10975506 13342772 15710038 16463259 20014158 21951012 23565057 30021237 31420076 32926518 40028316 47130114 56706781 60042474 65853036 70695171 94260228 113413562 120084948 133535323 141390342 170120343 226827124 243505589 267070646 282780684 340240686 400605969 487011178 510361029 534141292 680481372 730516767 801211938 974022356 1020722058 1201817907 1461033534 1602423876 2041444116 2191550301 2403635814 2922067068 4139595013 4383100602 4807271628 8279190026 8766201204 12418785039 16558380052 24837570078 37256355117 49675140156 74512710234 149025420468