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39268001376 = 25321097124291
BaseRepresentation
bin100100100100100011…
…100010011001100000
310202100122200011011100
4210210203202121200
51120410102021001
630012305314400
72560045335012
oct444443423140
9122318604140
1039268001376
11157208436aa
12773a935a00
13391a51b596
141c872a41b2
15104c5e3586
hex9248e2660

39268001376 has 72 divisors (see below), whose sum is σ = 111771072504. Its totient is φ = 13077296640.

The previous prime is 39268001299. The next prime is 39268001387. The reversal of 39268001376 is 67310086293.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253791 + ... + 378081.

It is an arithmetic number, because the mean of its divisors is an integer number (1552376007).

Almost surely, 239268001376 is an apocalyptic number.

39268001376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

39268001376 is an abundant number, since it is smaller than the sum of its proper divisors (72503071128).

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

39268001376 is a wasteful number, since it uses less digits than its factorization.

39268001376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125404 (or 125393 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 39268001376 in words is "thirty-nine billion, two hundred sixty-eight million, one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1097 2194 3291 4388 6582 8776 9873 13164 17552 19746 26328 35104 39492 52656 78984 105312 124291 157968 248582 315936 372873 497164 745746 994328 1118619 1491492 1988656 2237238 2982984 3977312 4474476 5965968 8948952 11931936 17897904 35795808 136347227 272694454 409041681 545388908 818083362 1090777816 1227125043 1636166724 2181555632 2454250086 3272333448 4363111264 4908500172 6544666896 9817000344 13089333792 19634000688 39268001376