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47608182097 = 729717095861
BaseRepresentation
bin101100010101101010…
…110011010101010001
311112212220012020021121
4230111222303111101
51240000143311342
633512040322241
73303526604500
oct542552632521
9145786166247
1047608182097
1119210639943
129287a73381
13464938a368
142438c00837
1513898d8067
hexb15ab3551

47608182097 has 24 divisors (see below), whose sum is σ = 55994175720. Its totient is φ = 40355804160.

The previous prime is 47608182053. The next prime is 47608182157. The reversal of 47608182097 is 79028180674.

47608182097 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 4 ways, for example, as 1435197456 + 46172984641 = 37884^2 + 214879^2 .

It is not a de Polignac number, because 47608182097 - 27 = 47608181969 is a prime.

It is a super-2 number, since 2×476081820972 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47608182997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8119947 + ... + 8125807.

It is an arithmetic number, because the mean of its divisors is an integer number (2333090655).

Almost surely, 247608182097 is an apocalyptic number.

It is an amenable number.

47608182097 is a deficient number, since it is larger than the sum of its proper divisors (8385993623).

47608182097 is a wasteful number, since it uses less digits than its factorization.

47608182097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 47608182097 in words is "forty-seven billion, six hundred eight million, one hundred eighty-two thousand, ninety-seven".

Divisors: 1 7 49 97 679 1709 4753 5861 11963 41027 83741 165773 287189 568517 1160411 3979619 8122877 10016449 27857333 70115143 490806001 971595553 6801168871 47608182097