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47354112100 = 22524724632
BaseRepresentation
bin101100000110100001…
…100110100001100100
311112020012010010202201
4230012201212201210
51233440123041400
633430522544244
73264323211601
oct540641464144
9145205103681
1047354112100
11190a0186339
129216968084
134608851299
1424131856a8
15137244d06a
hexb06866864

47354112100 has 81 divisors (see below), whose sum is σ = 105218543577. Its totient is φ = 18498590880.

The previous prime is 47354112077. The next prime is 47354112133. The reversal of 47354112100 is 121145374.

Adding to 47354112100 its reverse (121145374), we get a palindrome (47475257474).

The square root of 47354112100 is 217610.

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

It can be written as a sum of positive squares in only one way, i.e., 17047480356 + 30306631744 = 130566^2 + 174088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102276469 + ... + 102276931.

Almost surely, 247354112100 is an apocalyptic number.

47354112100 is the 217610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47354112100

47354112100 is an abundant number, since it is smaller than the sum of its proper divisors (57864431477).

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

47354112100 is an equidigital number, since it uses as much as digits as its factorization.

47354112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 47354112100 in words is "forty-seven billion, three hundred fifty-four million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 463 470 926 940 1175 1852 2209 2315 2350 4418 4630 4700 8836 9260 11045 11575 21761 22090 23150 43522 44180 46300 55225 87044 108805 110450 214369 217610 220900 428738 435220 544025 857476 1022767 1071845 1088050 2045534 2143690 2176100 4091068 4287380 5113835 5359225 10075343 10227670 10718450 20150686 20455340 21436900 25569175 40301372 50376715 51138350 100753430 102276700 201506860 251883575 473541121 503767150 947082242 1007534300 1894164484 2367705605 4735411210 9470822420 11838528025 23677056050 47354112100