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23145302358 = 23217672933853
BaseRepresentation
bin10101100011100100…
…010100100101010110
32012202000222011221200
4111203210110211112
5334400144133413
614344404053330
71446363552423
oct254344244526
965660864850
1023145302358
1198a7a13262
12459b394246
13224b204aa9
141197d12d4a
15906e62573
hex563914956

23145302358 has 96 divisors (see below), whose sum is σ = 54088515936. Its totient is φ = 7126631424.

The previous prime is 23145302357. The next prime is 23145302441. The reversal of 23145302358 is 85320354132.

23145302358 is a `hidden beast` number, since 2 + 314 + 5 + 302 + 35 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23145302357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6005160 + ... + 6009012.

It is an arithmetic number, because the mean of its divisors is an integer number (563422041).

Almost surely, 223145302358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23145302358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27044257968).

23145302358 is an abundant number, since it is smaller than the sum of its proper divisors (30943213578).

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

23145302358 is a wasteful number, since it uses less digits than its factorization.

23145302358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 23145302358 in words is "twenty-three billion, one hundred forty-five million, three hundred two thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 134 153 201 293 306 402 586 603 879 1139 1206 1758 2278 2637 3417 3853 4981 5274 6834 7706 9962 10251 11559 14943 19631 20502 23118 29886 34677 39262 44829 58893 65501 69354 89658 117786 131002 176679 196503 258151 333727 353358 393006 516302 589509 667454 774453 1001181 1128929 1179018 1548906 2002362 2257858 2323359 3003543 3386787 4388567 4646718 6007086 6773574 8777134 10160361 13165701 19191793 20320722 26331402 38383586 39497103 57575379 75638243 78994206 115150758 151276486 172726137 226914729 345452274 453829458 680744187 1285850131 1361488374 2571700262 3857550393 7715100786 11572651179 23145302358