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3745124856 = 2333111938167
BaseRepresentation
bin1101111100111010…
…0001000111111000
3100200000010001111000
43133032201013320
530132222443411
61415343005000
7161544015234
oct33716410770
910600101430
103745124856
111652030810
12886299760
13478b93015
142775695c4
1516dbcb956
hexdf3a11f8

3745124856 has 128 divisors (see below), whose sum is σ = 11409062400. Its totient is φ = 1128867840.

The previous prime is 3745124843. The next prime is 3745124857. The reversal of 3745124856 is 6584215473.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745124857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454485 + ... + 462651.

It is an arithmetic number, because the mean of its divisors is an integer number (89133300).

Almost surely, 23745124856 is an apocalyptic number.

3745124856 is a gapful number since it is divisible by the number (36) 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 3745124856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5704531200).

3745124856 is an abundant number, since it is smaller than the sum of its proper divisors (7663937544).

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

3745124856 is a wasteful number, since it uses less digits than its factorization.

3745124856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8386 (or 8376 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 3745124856 is about 61197.4252399560. The cubic root of 3745124856 is about 1552.9427074183.

The spelling of 3745124856 in words is "three billion, seven hundred forty-five million, one hundred twenty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 193 198 216 264 297 386 396 579 594 772 792 1158 1188 1544 1737 2123 2316 2376 3474 4246 4632 5211 6369 6948 8167 8492 10422 12738 13896 16334 16984 19107 20844 24501 25476 32668 38214 41688 49002 50952 57321 65336 73503 76428 89837 98004 114642 147006 152856 179674 196008 220509 229284 269511 294012 359348 441018 458568 539022 588024 718696 808533 882036 1078044 1576231 1617066 1764072 2156088 2425599 3152462 3234132 4728693 4851198 6304924 6468264 9457386 9702396 12609848 14186079 17338541 18914772 19404792 28372158 34677082 37829544 42558237 52015623 56744316 69354164 85116474 104031246 113488632 138708328 156046869 170232948 208062492 312093738 340465896 416124984 468140607 624187476 936281214 1248374952 1872562428 3745124856