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23452498188 = 22337215492861
BaseRepresentation
bin10101110101111000…
…001011100100001100
32020112110000100102000
4111311320023210030
5341012314420223
614435100232300
71460113642200
oct256570134414
966473010360
1023452498188
119a45362009
12466623b690
132299a51c82
1411c6a3ab00
15923de3543
hex575e0b90c

23452498188 has 144 divisors (see below), whose sum is σ = 70800156000. Its totient is φ = 6694047360.

The previous prime is 23452498079. The next prime is 23452498213. The reversal of 23452498188 is 88189425432.

23452498188 is a `hidden beast` number, since 2 + 3 + 452 + 4 + 9 + 8 + 188 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8195878 + ... + 8198738.

It is an arithmetic number, because the mean of its divisors is an integer number (491667750).

Almost surely, 223452498188 is an apocalyptic number.

23452498188 is a gapful number since it is divisible by the number (28) 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 23452498188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35400078000).

23452498188 is an abundant number, since it is smaller than the sum of its proper divisors (47347657812).

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

23452498188 is a wasteful number, since it uses less digits than its factorization.

23452498188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4422 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 23452498188 in words is "twenty-three billion, four hundred fifty-two million, four hundred ninety-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1549 1764 2646 2861 3098 4647 5292 5722 6196 8583 9294 10843 11444 13941 17166 18588 20027 21686 25749 27882 32529 34332 40054 41823 43372 51498 55764 60081 65058 75901 77247 80108 83646 97587 102996 120162 130116 140189 151802 154494 167292 180243 195174 227703 240324 280378 292761 303604 308988 360486 390348 420567 455406 540729 560756 585522 683109 720972 841134 910812 1081458 1171044 1261701 1366218 1682268 2049327 2162916 2523402 2732436 3785103 4098654 4431689 5046804 7570206 8197308 8863378 13295067 15140412 17726756 26590134 31021823 39885201 53180268 62043646 79770402 93065469 119655603 124087292 159540804 186130938 217152761 239311206 279196407 372261876 434305522 478622412 558392814 651458283 837589221 868611044 1116785628 1302916566 1675178442 1954374849 2605833132 3350356884 3908749698 5863124547 7817499396 11726249094 23452498188