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48604104432 = 24341310612719
BaseRepresentation
bin101101010001000001…
…111100011011110000
311122110022012022220000
4231101001330123300
51244020122320212
634154534350000
73340312033242
oct552101743360
9148408168800
1048604104432
1119681828054
1295054bb300
1347777ca510
1424d11aa092
1513e70611dc
hexb5107c6f0

48604104432 has 200 divisors, whose sum is σ = 151694040960. Its totient is φ = 14935518720.

The previous prime is 48604104403. The next prime is 48604104433. The reversal of 48604104432 is 23440140684.

48604104432 is a `hidden beast` number, since 4 + 8 + 604 + 1 + 0 + 4 + 43 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48604104433) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 17874369 + ... + 17877087.

Almost surely, 248604104432 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 48604104432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75847020480).

48604104432 is an abundant number, since it is smaller than the sum of its proper divisors (103089936528).

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

48604104432 is a wasteful number, since it uses less digits than its factorization.

48604104432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 48604104432 in words is "forty-eight billion, six hundred four million, one hundred four thousand, four hundred thirty-two".