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149336989872 = 24371750351977
BaseRepresentation
bin1000101100010100101…
…1011010000010110000
3112021110112220002221220
42023011023122002300
54421320232133442
6152334321545040
713534465320060
oct2130513320260
9467415802856
10149336989872
11583739238a4
1224b387a5180
131110c0c1785
1473296c53a0
153d407b6eec
hex22c52da0b0

149336989872 has 160 divisors (see below), whose sum is σ = 467772060672. Its totient is φ = 40077238272.

The previous prime is 149336989859. The next prime is 149336989883. The reversal of 149336989872 is 278989633941.

It is a super-3 number, since 3×1493369898723 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149336989797 and 149336989806.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2847148 + ... + 2899124.

Almost surely, 2149336989872 is an apocalyptic number.

149336989872 is a gapful number since it is divisible by the number (12) 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 149336989872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233886030336).

149336989872 is an abundant number, since it is smaller than the sum of its proper divisors (318435070800).

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

149336989872 is a wasteful number, since it uses less digits than its factorization.

149336989872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52515 (or 52509 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 69.

The spelling of 149336989872 in words is "one hundred forty-nine billion, three hundred thirty-six million, nine hundred eighty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 503 714 816 952 1006 1428 1509 1904 2012 2856 3018 3521 4024 5712 6036 7042 8048 8551 10563 12072 14084 17102 21126 24144 25653 28168 34204 42252 51306 51977 56336 59857 68408 84504 102612 103954 119714 136816 155931 169008 179571 205224 207908 239428 311862 359142 363839 410448 415816 478856 623724 718284 727678 831632 883609 957712 1091517 1247448 1436568 1455356 1767218 2183034 2494896 2650827 2873136 2910712 3534436 4366068 5301654 5821424 6185263 7068872 8732136 10603308 12370526 14137744 17464272 18555789 21206616 24741052 26144431 37111578 42413232 49482104 52288862 74223156 78433293 98964208 104577724 148446312 156866586 183011017 209155448 296892624 313733172 366022034 418310896 444455327 549033051 627466344 732044068 888910654 1098066102 1254932688 1333365981 1464088136 1777821308 2196132204 2666731962 2928176272 3111187289 3555642616 4392264408 5333463924 6222374578 7111285232 8784528816 9333561867 10666927848 12444749156 18667123734 21333855696 24889498312 37334247468 49778996624 74668494936 149336989872