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149453781264 = 24337926316651
BaseRepresentation
bin1000101100110000100…
…0111011100100010000
3112021202200122201122000
42023030020323210100
54422040132000024
6152354053114000
713540414115544
oct2131410734420
9467680581560
10149453781264
1158423843a07
1224b6b928900
131112a3640c8
14733b007a24
153d4ab86cc9
hex22cc23b910

149453781264 has 160 divisors (see below), whose sum is σ = 436095897600. Its totient is φ = 48997353600.

The previous prime is 149453781221. The next prime is 149453781299. The reversal of 149453781264 is 462187354941.

149453781264 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 5 + 378 + 1 + 264 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 149453781264.

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, 8967339 + ... + 8983989.

It is an arithmetic number, because the mean of its divisors is an integer number (2725599360).

Almost surely, 2149453781264 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 149453781264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218047948800).

149453781264 is an abundant number, since it is smaller than the sum of its proper divisors (286642116336).

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

149453781264 is a wasteful number, since it uses less digits than its factorization.

149453781264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17010 (or 16998 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 149453781264 in words is "one hundred forty-nine billion, four hundred fifty-three million, seven hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 263 316 432 474 526 632 711 789 948 1052 1264 1422 1578 1896 2104 2133 2367 2844 3156 3792 4208 4266 4734 5688 6312 7101 8532 9468 11376 12624 14202 16651 17064 18936 20777 28404 33302 34128 37872 41554 49953 56808 62331 66604 83108 99906 113616 124662 133208 149859 166216 186993 199812 249324 266416 299718 332432 373986 399624 449577 498648 560979 599436 747972 799248 899154 997296 1121958 1198872 1315429 1495944 1798308 2243916 2397744 2630858 2991888 3596616 3946287 4379213 4487832 5261716 7193232 7892574 8758426 8975664 10523432 11838861 13137639 15785148 17516852 21046864 23677722 26275278 31570296 35033704 35516583 39412917 47355444 52550556 63140592 70067408 71033166 78825834 94710888 105101112 118238751 142066332 157651668 189421776 210202224 236477502 284132664 315303336 345957827 472955004 568265328 630606672 691915654 945910008 1037873481 1383831308 1891820016 2075746962 2767662616 3113620443 4151493924 5535325232 6227240886 8302987848 9340861329 12454481772 16605975696 18681722658 24908963544 37363445316 49817927088 74726890632 149453781264