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47272422288 = 24372133153941
BaseRepresentation
bin101100000001101001…
…111110101110010000
311112000111101212102010
4230001221332232100
51233303220003123
633414444022520
73262311650100
oct540151765620
9145014355363
1047272422288
11190590605a3
1291b3531a40
1345c494ba10
14240639d200
15136a1b3993
hexb01a7eb90

47272422288 has 480 divisors, whose sum is σ = 161071690752. Its totient is φ = 11825049600.

The previous prime is 47272422287. The next prime is 47272422289. The reversal of 47272422288 is 88222427274.

It is an interprime number because it is at equal distance from previous prime (47272422287) and next prime (47272422289).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (47272422287) 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 95 ways as a sum of consecutive naturals, for example, 50235898 + ... + 50236838.

Almost surely, 247272422288 is an apocalyptic number.

47272422288 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 47272422288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80535845376).

47272422288 is an abundant number, since it is smaller than the sum of its proper divisors (113799268464).

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

47272422288 is a wasteful number, since it uses less digits than its factorization.

47272422288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1050 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 48.

The spelling of 47272422288 in words is "forty-seven billion, two hundred seventy-two million, four hundred twenty-two thousand, two hundred eighty-eight".