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48896199005472 = 25337133143716571
BaseRepresentation
bin10110001111000100010001…
…00100101001010100100000
320102010102122011211222011000
423013202020210221110200
522402103403421133342
6251554334223152000
713204430251652640
oct1307421044512440
9212112564758130
1048896199005472
1114641841687705
1255984b2145600
132138b79322a20
14c108353d0520
1559bd8064844c
hex2c7888929520

48896199005472 has 1536 divisors, whose sum is σ = 188040444641280. Its totient is φ = 12015972864000.

The previous prime is 48896199005431. The next prime is 48896199005473. The reversal of 48896199005472 is 27450099169884.

48896199005472 is a `hidden beast` number, since 4 + 8 + 8 + 9 + 61 + 9 + 90 + 0 + 5 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 48896199005472.

It is not an unprimeable number, because it can be changed into a prime (48896199005473) 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 255 ways as a sum of consecutive naturals, for example, 7441207947 + ... + 7441214517.

It is an arithmetic number, because the mean of its divisors is an integer number (122422164480).

Almost surely, 248896199005472 is an apocalyptic number.

48896199005472 is a gapful number since it is divisible by the number (42) 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 48896199005472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94020222320640).

48896199005472 is an abundant number, since it is smaller than the sum of its proper divisors (139144245635808).

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

48896199005472 is a wasteful number, since it uses less digits than its factorization.

48896199005472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 48896199005472 in words is "forty-eight trillion, eight hundred ninety-six billion, one hundred ninety-nine million, five thousand, four hundred seventy-two".