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149289418560 = 2635251619561
BaseRepresentation
bin1000101100001001010…
…1111011111101000000
3112021100020101020101110
42023002111323331000
54421221042343220
6152325502203320
713533350056152
oct2130225737500
9467306336343
10149289418560
1158349a91867
1224b24883540
13111022a6979
147323260ad2
153d3b51bbe0
hex22c257bf40

149289418560 has 112 divisors (see below), whose sum is σ = 475883093952. Its totient is φ = 39651840000.

The previous prime is 149289418457. The next prime is 149289418639. The reversal of 149289418560 is 65814982941.

It is a self number, because there is not a number n which added to its sum of digits gives 149289418560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68821 + ... + 550740.

It is an arithmetic number, because the mean of its divisors is an integer number (4248956196).

Almost surely, 2149289418560 is an apocalyptic number.

149289418560 is a gapful number since it is divisible by the number (10) 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 149289418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237941546976).

149289418560 is an abundant number, since it is smaller than the sum of its proper divisors (326593675392).

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

149289418560 is a wasteful number, since it uses less digits than its factorization.

149289418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619832 (or 619822 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 149289418560 in words is "one hundred forty-nine billion, two hundred eighty-nine million, four hundred eighteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 251 320 480 502 753 960 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 8032 10040 12048 15060 16064 20080 24096 30120 40160 48192 60240 80320 120480 240960 619561 1239122 1858683 2478244 3097805 3717366 4956488 6195610 7434732 9293415 9912976 12391220 14869464 18586830 19825952 24782440 29738928 37173660 39651904 49564880 59477856 74347320 99129760 118955712 148694640 155509811 198259520 297389280 311019622 466529433 594778560 622039244 777549055 933058866 1244078488 1555098110 1866117732 2332647165 2488156976 3110196220 3732235464 4665294330 4976313952 6220392440 7464470928 9330588660 9952627904 12440784880 14928941856 18661177320 24881569760 29857883712 37322354640 49763139520 74644709280 149289418560