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47350397952 = 210321113193161
BaseRepresentation
bin101100000110010011…
…011011110000000000
311112012221010102220200
4230012103123300000
51233433200213302
633430311205200
73264246512304
oct540623336000
9145187112820
1047350397952
11190990798a0
129215676800
134607b50870
142412899d04
151371e6781c
hexb064dbc00

47350397952 has 1056 divisors, whose sum is σ = 177395312640. Its totient is φ = 11943936000.

The previous prime is 47350397951. The next prime is 47350397987. The reversal of 47350397952 is 25979305374.

47350397952 is a `hidden beast` number, since 47 + 3 + 503 + 9 + 7 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47350397951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 776236002 + ... + 776236062.

Almost surely, 247350397952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47350397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88697656320).

47350397952 is an abundant number, since it is smaller than the sum of its proper divisors (130044914688).

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

47350397952 is a wasteful number, since it uses less digits than its factorization.

47350397952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 47350397952 in words is "forty-seven billion, three hundred fifty million, three hundred ninety-seven thousand, nine hundred fifty-two".