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48153378096 = 2433934111933
BaseRepresentation
bin101100110110001010…
…100011110100110000
311121021220002001121000
4230312022203310300
51242104231044341
634042114002000
73323166650265
oct546612436460
9147256061530
1048153378096
111947036574a
1293ba576300
134705308045
14248b39d26c
1513bc6cc8b6
hexb362a3d30

48153378096 has 80 divisors (see below), whose sum is σ = 138244410720. Its totient is φ = 16048062720.

The previous prime is 48153378083. The next prime is 48153378107. The reversal of 48153378096 is 69087335184.

48153378096 is a `hidden beast` number, since 481 + 5 + 3 + 3 + 78 + 0 + 96 = 666.

It is a super-3 number, since 3×481533780963 (a number of 33 digits) contains 333 as substring.

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

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, 4029346 + ... + 4041278.

It is an arithmetic number, because the mean of its divisors is an integer number (1728055134).

Almost surely, 248153378096 is an apocalyptic number.

It is an amenable number.

48153378096 is an abundant number, since it is smaller than the sum of its proper divisors (90091032624).

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

48153378096 is a wasteful number, since it uses less digits than its factorization.

48153378096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21291 (or 21279 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 48153378096 in words is "forty-eight billion, one hundred fifty-three million, three hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9341 11933 18682 23866 28023 35799 37364 47732 56046 71598 74728 84069 95464 107397 112092 143196 149456 168138 190928 214794 224184 252207 286392 322191 336276 429588 448368 504414 572784 644382 672552 859176 1008828 1288764 1345104 1718352 2017656 2577528 4035312 5155056 111466153 222932306 334398459 445864612 668796918 891729224 1003195377 1337593836 1783458448 2006390754 2675187672 3009586131 4012781508 5350375344 6019172262 8025563016 12038344524 16051126032 24076689048 48153378096