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47730213720 = 23325761310501
BaseRepresentation
bin101100011100111100…
…010100001101011000
311120012101211002012100
4230130330110031120
51240222413314340
633532120043400
73306541060020
oct543474241530
9146171732170
1047730213720
1119273509022
129300903560
134668745c17
14244b0c8a80
151395490830
hexb1cf14358

47730213720 has 192 divisors, whose sum is σ = 180190520640. Its totient is φ = 10730880000.

The previous prime is 47730213691. The next prime is 47730213733. The reversal of 47730213720 is 2731203774.

It is a happy number.

47730213720 is a `hidden beast` number, since 477 + 30 + 2 + 137 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1531 + ... + 308970.

It is an arithmetic number, because the mean of its divisors is an integer number (938492295).

Almost surely, 247730213720 is an apocalyptic number.

47730213720 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 47730213720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90095260320).

47730213720 is an abundant number, since it is smaller than the sum of its proper divisors (132460306920).

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

47730213720 is a wasteful number, since it uses less digits than its factorization.

47730213720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310586 (or 310579 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 47730213720 in words is "forty-seven billion, seven hundred thirty million, two hundred thirteen thousand, seven hundred twenty".