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47623152200 = 235213211872
BaseRepresentation
bin101100010110100011…
…111010001001001000
311112220221100210101212
4230112203322021020
51240013011332300
633513333232252
73304101054221
oct542643721110
9145827323355
1047623152200
1119219034128
129290a92688
13464c4cc200
14243abba248
15138ad93935
hexb168fa248

47623152200 has 108 divisors (see below), whose sum is σ = 119997309915. Its totient is φ = 17569119360.

The previous prime is 47623152197. The next prime is 47623152209. The reversal of 47623152200 is 225132674.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2981378404 + 44641773796 = 54602^2 + 211286^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=154310.

It is not an unprimeable number, because it can be changed into a prime (47623152209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40120007 + ... + 40121193.

Almost surely, 247623152200 is an apocalyptic number.

47623152200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47623152200

47623152200 is an abundant number, since it is smaller than the sum of its proper divisors (72374157715).

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

47623152200 is a wasteful number, since it uses less digits than its factorization.

47623152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Multiplying 47623152200 by its sum of digits (32), we get a square (1523940870400 = 12344802).

Adding to 47623152200 its reverse (225132674), we get a palindrome (47848284874).

The spelling of 47623152200 in words is "forty-seven billion, six hundred twenty-three million, one hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1187 1300 1352 1690 2374 2600 3380 4225 4748 5935 6760 8450 9496 11870 15431 16900 23740 29675 30862 33800 47480 59350 61724 77155 118700 123448 154310 200603 237400 308620 385775 401206 617240 771550 802412 1003015 1408969 1543100 1604824 2006030 2817938 3086200 4012060 5015075 5635876 7044845 8024120 10030150 11271752 14089690 18316597 20060300 28179380 35224225 36633194 40120600 56358760 70448450 73266388 91582985 140896900 146532776 183165970 238115761 281793800 366331940 457914925 476231522 732663880 915829850 952463044 1190578805 1831659700 1904926088 2381157610 3663319400 4762315220 5952894025 9524630440 11905788050 23811576100 47623152200