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31379907559 = 711313417189
BaseRepresentation
bin11101001110011000…
…110110001111100111
32222222220211110200111
4131032120312033213
51003231224020214
622225444153451
72160423545650
oct351630661747
988886743614
1031379907559
111234315a000
1260b9098887
132c6122a350
14173980a527
15c39d505c4
hex74e6363e7

31379907559 has 128 divisors (see below), whose sum is σ = 44625530880. Its totient is φ = 21466368000.

The previous prime is 31379907553. The next prime is 31379907563. The reversal of 31379907559 is 95570997313.

It is not a de Polignac number, because 31379907559 - 213 = 31379899367 is a prime.

It is a super-2 number, since 2×313799075592 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31379907553) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 352583187 + ... + 352583275.

It is an arithmetic number, because the mean of its divisors is an integer number (348636960).

Almost surely, 231379907559 is an apocalyptic number.

31379907559 is a deficient number, since it is larger than the sum of its proper divisors (13245623321).

31379907559 is a wasteful number, since it uses less digits than its factorization.

31379907559 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 8037225, while the sum is 58.

The spelling of 31379907559 in words is "thirty-one billion, three hundred seventy-nine million, nine hundred seven thousand, five hundred fifty-nine".

Divisors: 1 7 11 13 41 71 77 89 91 121 143 287 451 497 533 623 781 847 923 979 1001 1157 1331 1573 2911 3157 3649 3731 4961 5467 5863 6319 6461 6853 8099 8591 9317 10153 10769 11011 12727 17303 20377 25543 32021 34727 37843 40139 41041 44233 47437 54571 60137 64493 69509 71071 75383 82147 89089 94501 111683 118459 121121 139997 224147 259079 264901 280973 332059 352231 381997 416273 441529 451451 486563 521807 575029 661507 709423 764599 781781 829213 903617 979979 1228513 1539967 1813553 2465617 2849869 2913911 3090703 3368027 3652649 3874541 4579003 4856819 4965961 5352193 5739877 6325319 8410589 8599591 9939787 10779769 19949083 23576189 27121787 31348559 32053021 33997733 37048297 40179139 50369033 58874123 63138647 69578509 109337657 219439913 259338079 344834149 352583231 407531267 441970529 765363599 2413839043 2852718869 4482843937 31379907559