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149094919584 = 253213231731407
BaseRepresentation
bin1000101011011010111…
…1111110110110100000
3112020211200101122221200
42022312233332312200
54420321244411314
6152254313321200
713525465622562
oct2126657766640
9466750348850
10149094919584
115825a216906
1224a8b706200
13110a0bc7510
1473054b1332
153d293ec709
hex22b6bfeda0

149094919584 has 144 divisors (see below), whose sum is σ = 476455779072. Its totient is φ = 43880753664.

The previous prime is 149094919537. The next prime is 149094919637. The reversal of 149094919584 is 485919490941.

149094919584 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 9 + 49 + 1 + 9 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779592 + ... + 951815.

It is an arithmetic number, because the mean of its divisors is an integer number (3308720688).

Almost surely, 2149094919584 is an apocalyptic number.

It is an amenable number.

149094919584 is an abundant number, since it is smaller than the sum of its proper divisors (327360859488).

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

149094919584 is a wasteful number, since it uses less digits than its factorization.

149094919584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731459 (or 1731448 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 149094919584 in words is "one hundred forty-nine billion, ninety-four million, nine hundred nineteen thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 736 828 897 936 1104 1196 1248 1656 1794 1872 2208 2392 2691 3312 3588 3744 4784 5382 6624 7176 9568 10764 14352 21528 28704 43056 86112 1731407 3462814 5194221 6925628 10388442 13851256 15582663 20776884 22508291 27702512 31165326 39822361 41553768 45016582 55405024 62330652 67524873 79644722 83107536 90033164 119467083 124661304 135049746 159289444 166215072 180066328 202574619 238934166 249322608 270099492 318578888 358401249 360132656 405149238 477868332 498645216 517690693 540198984 637157776 716802498 720265312 810298476 955736664 1035381386 1080397968 1274315552 1433604996 1553072079 1620596952 1911473328 2070762772 2160795936 2867209992 3106144158 3241193904 3822946656 4141525544 4659216237 5734419984 6212288316 6482387808 8283051088 9318432474 11468839968 12424576632 16566102176 18636864948 24849153264 37273729896 49698306528 74547459792 149094919584