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47275171200 = 27325212371327
BaseRepresentation
bin101100000001110100…
…011101110110000000
311112000200120112012200
4230001310131312000
51233304420434300
633415022553200
73262344216315
oct540164356600
9145020515180
1047275171200
111905a668924
1291b4438800
1345c53a1caa
1424068b6d0c
15136a558200
hexb01d1dd80

47275171200 has 288 divisors, whose sum is σ = 168952236960. Its totient is φ = 12587028480.

The previous prime is 47275171199. The next prime is 47275171217. The reversal of 47275171200 is 217157274.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35624937 + ... + 35626263.

Almost surely, 247275171200 is an apocalyptic number.

47275171200 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 47275171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84476118480).

47275171200 is an abundant number, since it is smaller than the sum of its proper divisors (121677065760).

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

47275171200 is a wasteful number, since it uses less digits than its factorization.

47275171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 47275171200 in words is "forty-seven billion, two hundred seventy-five million, one hundred seventy-one thousand, two hundred".