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47207131252710 = 235111324759383797
BaseRepresentation
bin10101011101111010001000…
…10010100000011111100110
320012010221212010212211211220
422232331010102200133212
522141420201100041320
6244222353503241210
712641413501646202
oct1256750422403746
9205127763784756
1047207131252710
11140504829a52a0
1253650848a9206
1320457c8781c00
14b92ba1957b02
1556ce74983e40
hex2aef444a07e6

47207131252710 has 768 divisors, whose sum is σ = 139537659985920. Its totient is φ = 10124575918080.

The previous prime is 47207131252691. The next prime is 47207131252739. The reversal of 47207131252710 is 1725213170274.

47207131252710 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×472071312527102 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

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 383 ways as a sum of consecutive naturals, for example, 59231030032 + ... + 59231030828.

It is an arithmetic number, because the mean of its divisors is an integer number (181689661440).

Almost surely, 247207131252710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47207131252710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69768829992960).

47207131252710 is an abundant number, since it is smaller than the sum of its proper divisors (92330528733210).

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

47207131252710 is a wasteful number, since it uses less digits than its factorization.

47207131252710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 47207131252710 in words is "forty-seven trillion, two hundred seven billion, one hundred thirty-one million, two hundred fifty-two thousand, seven hundred ten".