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47420555952 = 24372112397669
BaseRepresentation
bin101100001010011111…
…000100001010110000
311112101211010211121010
4230022133010022300
51234104130242302
633441255030520
73266061034500
oct541237041260
9145354124533
1047420555952
1119124738610
12923506b440
134619546283
14241bd1da00
1513781c516c
hexb0a7c42b0

47420555952 has 240 divisors, whose sum is σ = 156129292800. Its totient is φ = 12263892480.

The previous prime is 47420555951. The next prime is 47420555971. The reversal of 47420555952 is 25955502474.

It is a super-3 number, since 3×474205559523 (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (47420555951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6179574 + ... + 6187242.

It is an arithmetic number, because the mean of its divisors is an integer number (650538720).

Almost surely, 247420555952 is an apocalyptic number.

47420555952 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 47420555952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78064646400).

47420555952 is an abundant number, since it is smaller than the sum of its proper divisors (108708736848).

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

47420555952 is a wasteful number, since it uses less digits than its factorization.

47420555952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 48.

The spelling of 47420555952 in words is "forty-seven billion, four hundred twenty million, five hundred fifty-five thousand, nine hundred fifty-two".