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391226735048 = 2319210321132
BaseRepresentation
bin1011011000101101110…
…11100011100111001000
31101101211021010022222212
411230112323203213020
522402213021010143
6455421014404252
740156651244042
oct5542673434710
91341737108885
10391226735048
11140a11324606
12639a5060688
132ab7ab461c6
1414d14d2ca92
15a29b5a7918
hex5b16ee39c8

391226735048 has 108 divisors (see below), whose sum is σ = 788759033985. Its totient is φ = 181894664448.

The previous prime is 391226735027. The next prime is 391226735057. The reversal of 391226735048 is 840537622193.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 247086538084 + 144140196964 = 497078^2 + 379658^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=442282.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 391226734987 and 391226735005.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3462183440 + ... + 3462183552.

It is a 1-persistent number, because it is pandigital, but 2⋅391226735048 = 782453470096 is not.

Almost surely, 2391226735048 is an apocalyptic number.

391226735048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

391226735048 is an abundant number, since it is smaller than the sum of its proper divisors (397532298937).

391226735048 is a wasteful number, since it uses less digits than its factorization.

391226735048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

Multiplying 391226735048 by its sum of digits (50), we get a square (19561336752400 = 44228202).

The spelling of 391226735048 in words is "three hundred ninety-one billion, two hundred twenty-six million, seven hundred thirty-five thousand, forty-eight".

Divisors: 1 2 4 8 19 38 76 103 113 152 206 226 361 412 452 722 824 904 1444 1957 2147 2888 3914 4294 7828 8588 10609 11639 12769 15656 17176 21218 23278 25538 37183 40793 42436 46556 51076 74366 81586 84872 93112 102152 148732 163172 201571 221141 242611 297464 326344 403142 442282 485222 806284 884564 970444 1198817 1315207 1612568 1769128 1940888 2397634 2630414 3829849 4201679 4609609 4795268 5260828 7659698 8403358 9219218 9590536 10521656 15319396 16806716 18438436 22777523 24988933 30638792 33613432 36876872 45555046 49977866 91110092 99955732 135466321 182220184 199911464 270932642 432772937 474789727 541865284 865545874 949579454 1083730568 1731091748 1899158908 2573860099 3462183496 3798317816 5147720198 10295440396 20590880792 48903341881 97806683762 195613367524 391226735048