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149046405508 = 227111371524287
BaseRepresentation
bin1000101011001111011…
…0111010100110000100
3112020201022002220011001
42022303312322212010
54420221334434013
6152245421423044
713524336354250
oct2126366724604
9466638086131
10149046405508
11582348a0530
1224a7740aa84
1311093b3c570
1472dcc83260
153d25017ddd
hex22b3dba984

149046405508 has 96 divisors (see below), whose sum is σ = 355140108288. Its totient is φ = 52848028800.

The previous prime is 149046405493. The next prime is 149046405509. The reversal of 149046405508 is 805504640941.

It is a happy number.

149046405508 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (149046405509) 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 31 ways as a sum of consecutive naturals, for example, 22141 + ... + 546427.

It is an arithmetic number, because the mean of its divisors is an integer number (3699376128).

Almost surely, 2149046405508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149046405508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177570054144).

149046405508 is an abundant number, since it is smaller than the sum of its proper divisors (206093702780).

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

149046405508 is a wasteful number, since it uses less digits than its factorization.

149046405508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524393 (or 524391 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 149046405508 in words is "one hundred forty-nine billion, forty-six million, four hundred five thousand, five hundred eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 71 77 91 142 143 154 182 284 286 308 364 497 572 781 923 994 1001 1562 1846 1988 2002 3124 3692 4004 5467 6461 10153 10934 12922 20306 21868 25844 40612 71071 142142 284284 524287 1048574 2097148 3670009 5767157 6815731 7340018 11534314 13631462 14680036 23068628 27262924 37224377 40370099 47710117 74448754 74973041 80740198 95420234 148897508 149946082 161480396 190840468 260570639 299892164 409468147 483916901 521141278 524811287 818936294 967833802 1042282556 1049622574 1637872588 1935667604 2099245148 2866277029 3387418307 5323085911 5732554058 6774836614 10646171822 11465108116 13549673228 21292343644 37261601377 74523202754 149046405508