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48162933000 = 233253721331271
BaseRepresentation
bin101100110110101111…
…000000100100001000
311121022120001111110100
4230312233000210020
51242114202324000
634043054445400
73323344114200
oct546657004410
9147276044410
1048162933000
11194757a1466
129401803860
1347072a2130
14248c769400
1513bd468a00
hexb36bc0908

48162933000 has 1152 divisors, whose sum is σ = 211290992640. Its totient is φ = 9797760000.

The previous prime is 48162932959. The next prime is 48162933001. The reversal of 48162933000 is 33926184.

48162933000 is a `hidden beast` number, since 481 + 62 + 93 + 30 + 0 + 0 = 666.

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 (48162933001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 177722865 + ... + 177723135.

It is an arithmetic number, because the mean of its divisors is an integer number (183412320).

Almost surely, 248162933000 is an apocalyptic number.

48162933000 is a gapful number since it is divisible by the number (40) 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 48162933000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105645496320).

48162933000 is an abundant number, since it is smaller than the sum of its proper divisors (163128059640).

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

48162933000 is a wasteful number, since it uses less digits than its factorization.

48162933000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 48162933000 in words is "forty-eight billion, one hundred sixty-two million, nine hundred thirty-three thousand".