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47770869906 = 236235713901
BaseRepresentation
bin101100011111010111…
…011010000010010010
311120022020022122000000
4230133113122002102
51240313320314111
633540131310430
73310543460124
oct543727320222
9146266278000
1047770869906
1119294457681
12931244b416
134673cac336
14245266d214
151398d21c56
hexb1f5da092

47770869906 has 56 divisors (see below), whose sum is σ = 107488623564. Its totient is φ = 15915722400.

The previous prime is 47770869901. The next prime is 47770869917. The reversal of 47770869906 is 60996807774.

47770869906 is a `hidden beast` number, since 477 + 70 + 8 + 6 + 9 + 90 + 6 = 666.

47770869906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47770659225 + 210681 = 218565^2 + 459^2 .

It is not an unprimeable number, because it can be changed into a prime (47770869901) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3429556 + ... + 3443456.

Almost surely, 247770869906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47770869906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53744311782).

47770869906 is an abundant number, since it is smaller than the sum of its proper divisors (59717753658).

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

47770869906 is a wasteful number, since it uses less digits than its factorization.

47770869906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16278 (or 16263 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 47770869906 in words is "forty-seven billion, seven hundred seventy million, eight hundred sixty-nine thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2357 4714 7071 13901 14142 21213 27802 41703 42426 63639 83406 125109 127278 190917 250218 375327 381834 572751 750654 1125981 1145502 1718253 2251962 3377943 3436506 6755886 10133829 20267658 32764657 65529314 98293971 196587942 294881913 589763826 884645739 1769291478 2653937217 5307874434 7961811651 15923623302 23885434953 47770869906