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48450065088 = 2632718091151
BaseRepresentation
bin101101000111110110…
…010101001011000000
311122001120100022122010
4231013312111023000
51243211204040323
634131353012520
73333431521035
oct550766251300
9148046308563
1048450065088
1119602887007
1294819b4140
134751915b89
1424b894d38c
1513d8784c93
hexb47d952c0

48450065088 has 112 divisors (see below), whose sum is σ = 128934789120. Its totient is φ = 16056576000.

The previous prime is 48450065039. The next prime is 48450065117. The reversal of 48450065088 is 88056005484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42093313 + ... + 42094463.

Almost surely, 248450065088 is an apocalyptic number.

48450065088 is a gapful number since it is divisible by the number (48) 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 48450065088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64467394560).

48450065088 is an abundant number, since it is smaller than the sum of its proper divisors (80484724032).

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

48450065088 is a wasteful number, since it uses less digits than its factorization.

48450065088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 48450065088 in words is "forty-eight billion, four hundred fifty million, sixty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 271 542 809 813 1084 1151 1618 1626 2168 2302 2427 3236 3252 3453 4336 4604 4854 6472 6504 6906 8672 9208 9708 12944 13008 13812 17344 18416 19416 25888 26016 27624 36832 38832 51776 52032 55248 73664 77664 110496 155328 219239 220992 311921 438478 623842 657717 876956 931159 935763 1247684 1315434 1753912 1862318 1871526 2495368 2630868 2793477 3507824 3724636 3743052 4990736 5261736 5586954 7015648 7449272 7486104 9981472 10523472 11173908 14031296 14898544 14972208 19962944 21046944 22347816 29797088 29944416 42093888 44695632 59594176 59888832 89391264 178782528 252344089 504688178 757032267 1009376356 1514064534 2018752712 3028129068 4037505424 6056258136 8075010848 12112516272 16150021696 24225032544 48450065088