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47791820106 = 23223425327143
BaseRepresentation
bin101100100000100111…
…010100110101001010
311120100200202000021100
4230200213110311022
51240334201220411
633542200322230
73311216524332
oct544047246512
9146320660240
1047791820106
11192a5266898
129319473376
1346784360c4
1424553640c2
15139aaae456
hexb209d4d4a

47791820106 has 48 divisors (see below), whose sum is σ = 108080459136. Its totient is φ = 15233827488.

The previous prime is 47791820101. The next prime is 47791820137. The reversal of 47791820106 is 60102819774.

It is a happy number.

47791820106 is a `hidden beast` number, since 477 + 91 + 82 + 0 + 10 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (47791820101) 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, 1747171 + ... + 1774313.

It is an arithmetic number, because the mean of its divisors is an integer number (2251676232).

Almost surely, 247791820106 is an apocalyptic number.

47791820106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

47791820106 is an abundant number, since it is smaller than the sum of its proper divisors (60288639030).

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

47791820106 is a wasteful number, since it uses less digits than its factorization.

47791820106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31427 (or 31424 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 47791820106 in words is "forty-seven billion, seven hundred ninety-one million, eight hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 4253 8506 12759 25518 27143 38277 54286 76554 81429 97819 162858 195638 244287 293457 488574 586914 624289 880371 1248578 1760742 1872867 3745734 5618601 11237202 115439179 230878358 346317537 692635074 1038952611 2077905222 2655101117 5310202234 7965303351 15930606702 23895910053 47791820106