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47806073316 = 223640492
BaseRepresentation
bin101100100001011101…
…101100100111100100
311120101200120011000000
4230201131230213210
51240401323321231
633543430021300
73311451630021
oct544135544744
9146350504000
1047806073316
1119302311501
1293221a7830
13467b386861
1424571d4548
15139be776e6
hexb2176c9e4

47806073316 has 63 divisors (see below), whose sum is σ = 125464548601. Its totient is φ = 15931422144.

The previous prime is 47806073281. The next prime is 47806073317. The reversal of 47806073316 is 61337060874.

The square root of 47806073316 is 218646.

It is a perfect power (a square), and thus also a powerful number.

47806073316 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 607 + 3 + 31 + 6 = 666.

47806073316 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 only one way, i.e., 11675666916 + 36130406400 = 108054^2 + 190080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47806073317) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 11804860 + ... + 11808908.

Almost surely, 247806073316 is an apocalyptic number.

47806073316 is the 218646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47806073316

47806073316 is an abundant number, since it is smaller than the sum of its proper divisors (77658475285).

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

47806073316 is an frugal number, since it uses more digits than its factorization.

47806073316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8120 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 47806073316 in words is "forty-seven billion, eight hundred six million, seventy-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4049 8098 12147 16196 24294 36441 48588 72882 109323 145764 218646 327969 437292 655938 983907 1311876 1967814 2951721 3935628 5903442 11806884 16394401 32788802 49183203 65577604 98366406 147549609 196732812 295099218 442648827 590198436 885297654 1327946481 1770595308 2655892962 3983839443 5311785924 7967678886 11951518329 15935357772 23903036658 47806073316