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47498109120 = 263257111911273
BaseRepresentation
bin101100001111000110…
…111010000011000000
311112121020001221112200
4230033012322003000
51234234003442440
633453105153200
73301022160150
oct541706720300
9145536057480
1047498109120
1119164498440
12925702b800
13462c62aa17
14242834a760
15137ede3c30
hexb0f1ba0c0

47498109120 has 672 divisors, whose sum is σ = 214426068480. Its totient is φ = 9349447680.

The previous prime is 47498109119. The next prime is 47498109203. The reversal of 47498109120 is 2190189474.

It is a happy number.

47498109120 is a `hidden beast` number, since 47 + 498 + 10 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4207804 + ... + 4219076.

Almost surely, 247498109120 is an apocalyptic number.

47498109120 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 47498109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107213034240).

47498109120 is an abundant number, since it is smaller than the sum of its proper divisors (166927959360).

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

47498109120 is a wasteful number, since it uses less digits than its factorization.

47498109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333 (or 11320 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 47498109120 in words is "forty-seven billion, four hundred ninety-eight million, one hundred nine thousand, one hundred twenty".