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47508712440 = 23357273110681
BaseRepresentation
bin101100001111101111…
…010110101111111000
311112121222000122120020
4230033233112233320
51234244212244230
633454124330440
73301211251500
oct541757265770
9145558018506
1047508712440
111916a47a912
12925a6a3a20
1346318a1087
14242990aa00
151380cda810
hexb0fbd6bf8

47508712440 has 192 divisors, whose sum is σ = 168068403360. Its totient is φ = 10710282240.

The previous prime is 47508712421. The next prime is 47508712463. The reversal of 47508712440 is 4421780574.

It is a super-2 number, since 2×475087124402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 47508712392 and 47508712401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373900 + ... + 484580.

Almost surely, 247508712440 is an apocalyptic number.

47508712440 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 47508712440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84034201680).

47508712440 is an abundant number, since it is smaller than the sum of its proper divisors (120559690920).

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

47508712440 is a wasteful number, since it uses less digits than its factorization.

47508712440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110782 (or 110771 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 47508712440 in words is "forty-seven billion, five hundred eight million, seven hundred twelve thousand, four hundred forty".