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149687341902 = 23371992119431
BaseRepresentation
bin1000101101101000001…
…1111001001101001110
3112022100222010211121000
42023122003321031032
54423024424420102
6152433155121130
713546251261420
oct2133203711516
9468328124530
10149687341902
115853366952a
1225015ba31a6
131116686bc77
147360044810
153d6142001c
hex22da0f934e

149687341902 has 128 divisors (see below), whose sum is σ = 383920128000. Its totient is φ = 42346735200.

The previous prime is 149687341873. The next prime is 149687341919. The reversal of 149687341902 is 209143786941.

149687341902 is a `hidden beast` number, since 149 + 6 + 87 + 3 + 419 + 0 + 2 = 666.

149687341902 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15867127 + ... + 15876557.

It is an arithmetic number, because the mean of its divisors is an integer number (2999376000).

Almost surely, 2149687341902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149687341902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191960064000).

149687341902 is an abundant number, since it is smaller than the sum of its proper divisors (234232786098).

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

149687341902 is a wasteful number, since it uses less digits than its factorization.

149687341902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9853 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 149687341902 in words is "one hundred forty-nine billion, six hundred eighty-seven million, three hundred forty-one thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 199 211 378 398 422 597 633 1194 1266 1393 1477 1791 1899 2786 2954 3582 3798 4179 4431 5373 5697 8358 8862 9431 10746 11394 12537 13293 18862 25074 26586 28293 37611 39879 41989 56586 66017 75222 79758 83978 84879 125967 132034 169758 198051 251934 254637 293923 377901 396102 509274 587846 594153 755802 881769 1133703 1188306 1763538 1782459 1876769 1989941 2267406 2645307 3564918 3753538 3979882 5290614 5630307 5969823 7935921 11260614 11939646 13137383 13929587 15871842 16890921 17909469 26274766 27859174 33781842 35818938 39412149 41788761 50672763 53728407 78824298 83577522 101345526 107456814 118236447 125366283 236472894 250732566 354709341 376098849 395998259 709418682 752197698 791996518 1187994777 2375989554 2771987813 3563984331 5543975626 7127968662 8315963439 10691952993 16631926878 21383905986 24947890317 49895780634 74843670951 149687341902