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149727111954 = 23721499913449
BaseRepresentation
bin1000101101110001101…
…1100110101100010010
3112022110201222100211220
42023130123212230102
54423120120040304
6152441135345510
713550243311200
oct2133433465422
9468421870756
10149727111954
1158554062342
1225027382296
1311171b84c44
147365438070
153d64b78ad9
hex22dc6e6b12

149727111954 has 96 divisors (see below), whose sum is σ = 351138240000. Its totient is φ = 42436880640.

The previous prime is 149727111929. The next prime is 149727112033. The reversal of 149727111954 is 459111727941.

149727111954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 149727111897 and 149727111906.

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 47 ways as a sum of consecutive naturals, for example, 43410022 + ... + 43413470.

It is an arithmetic number, because the mean of its divisors is an integer number (3657690000).

Almost surely, 2149727111954 is an apocalyptic number.

149727111954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149727111954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175569120000).

149727111954 is an abundant number, since it is smaller than the sum of its proper divisors (201411128046).

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

149727111954 is a wasteful number, since it uses less digits than its factorization.

149727111954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4601 counting only the distinct ones).

The product of its digits is 635040, while the sum is 51.

The spelling of 149727111954 in words is "one hundred forty-nine billion, seven hundred twenty-seven million, one hundred eleven thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 149 294 298 447 894 991 1043 1982 2086 2973 3129 3449 5946 6258 6898 6937 7301 10347 13874 14602 20694 20811 21903 24143 41622 43806 48286 48559 72429 97118 144858 145677 147659 169001 291354 295318 338002 442977 507003 513901 885954 1014006 1027802 1033613 1541703 2067226 3083406 3100839 3417959 3597307 6201678 6835918 7194614 7235291 10253877 10791921 14470582 20507754 21583842 21705873 23925713 25181149 43411746 47851426 50362298 71777139 75543447 143554278 151086894 167479991 334959982 502439973 509275891 1004879946 1018551782 1527827673 3055655346 3564931237 7129862474 10694793711 21389587422 24954518659 49909037318 74863555977 149727111954