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149145737850 = 232522153153941
BaseRepresentation
bin1000101011100111000…
…1110101101001111010
3112020222020000111111200
42022321301311221322
54420422302102400
6152303330435030
713526653566024
oct2127161655172
9466866014450
10149145737850
115828597637a
1224aa4732a76
13110ab5ab1b5
14730c13d014
153d2dad9b00
hex22b9c75a7a

149145737850 has 72 divisors (see below), whose sum is σ = 400893601212. Its totient is φ = 39753465600.

The previous prime is 149145737801. The next prime is 149145737861. The reversal of 149145737850 is 58737541941.

149145737850 is a `hidden beast` number, since 1 + 4 + 9 + 14 + 573 + 7 + 8 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12202074369 + 136943663481 = 110463^2 + 370059^2 .

It is a super-2 number, since 2×1491457378502 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 891880 + ... + 1045820.

Almost surely, 2149145737850 is an apocalyptic number.

149145737850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149145737850 is an abundant number, since it is smaller than the sum of its proper divisors (251747863362).

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

149145737850 is a wasteful number, since it uses less digits than its factorization.

149145737850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156112 (or 156104 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 149145737850 in words is "one hundred forty-nine billion, one hundred forty-five million, seven hundred thirty-seven thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 2153 4306 6459 10765 12918 19377 21530 32295 38754 53825 64590 96885 107650 153941 161475 193770 307882 322950 461823 484425 769705 923646 968850 1385469 1539410 2309115 2770938 3848525 4618230 6927345 7697050 11545575 13854690 23091150 34636725 69273450 331434973 662869946 994304919 1657174865 1988609838 2982914757 3314349730 4971524595 5965829514 8285874325 9943049190 14914573785 16571748650 24857622975 29829147570 49715245950 74572868925 149145737850