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188314338304 = 2107121912
BaseRepresentation
bin1010111101100001101…
…0001100010000000000
3200000001221122120020101
42233120122030100000
511041131432311204
6222302125452144
716414414315321
oct2573032142000
9600057576211
10188314338304
1172955597654
12305b6111054
13149b1335861
14918612a448
154d725e5ea4
hex2bd868c400

188314338304 has 99 divisors (see below), whose sum is σ = 383831023303. Its totient is φ = 92344985600.

The previous prime is 188314338257. The next prime is 188314338313. The reversal of 188314338304 is 403833413881.

It is a happy number.

The square root of 188314338304 is 433952.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 985938849 + ... + 985939039.

Almost surely, 2188314338304 is an apocalyptic number.

188314338304 is the 433952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188314338304

188314338304 is an abundant number, since it is smaller than the sum of its proper divisors (195516684999).

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

188314338304 is an frugal number, since it uses more digits than its factorization.

188314338304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 188314338304 in words is "one hundred eighty-eight billion, three hundred fourteen million, three hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 71 128 142 191 256 284 382 512 568 764 1024 1136 1528 2272 3056 4544 5041 6112 9088 10082 12224 13561 18176 20164 24448 27122 36352 36481 40328 48896 54244 72704 72962 80656 97792 108488 145924 161312 195584 216976 291848 322624 433952 583696 645248 867904 962831 1167392 1290496 1735808 1925662 2334784 2580992 2590151 3471616 3851324 4669568 5161984 5180302 6943232 7702648 9339136 10360604 13886464 15405296 18678272 20721208 30810592 37356544 41442416 61621184 82884832 123242368 165769664 183900721 246484736 331539328 367801442 492969472 663078656 735602884 985938944 1326157312 1471205768 2652314624 2942411536 5884823072 11769646144 23539292288 47078584576 94157169152 188314338304