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47172623680 = 26571343101373
BaseRepresentation
bin101011111011101101…
…010001110101000000
311111202112121120110101
4223323231101311000
51233102142424210
633400521012144
73256660454050
oct537355216500
9144675546411
1047172623680
1119007797406
129186024054
1345aa078aa0
1423d7021560
15136154da3a
hexafbb51d40

47172623680 has 448 divisors, whose sum is σ = 143250928128. Its totient is φ = 14399078400.

The previous prime is 47172623657. The next prime is 47172623699. The reversal of 47172623680 is 8632627174.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 47172623680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126467974 + ... + 126468346.

It is an arithmetic number, because the mean of its divisors is an integer number (319756536).

Almost surely, 247172623680 is an apocalyptic number.

47172623680 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 47172623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71625464064).

47172623680 is an abundant number, since it is smaller than the sum of its proper divisors (96078304448).

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

47172623680 is a wasteful number, since it uses less digits than its factorization.

47172623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 47172623680 in words is "forty-seven billion, one hundred seventy-two million, six hundred twenty-three thousand, six hundred eighty".