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13975993129670 = 25111361915717497
BaseRepresentation
bin1100101101100000101000…
…0110110001101011000110
31211111002110222202120201222
43023120022012301223012
53312440313220122140
645420252124320342
72641506065334005
oct313301206615306
954432428676658
1013975993129670
1144a920484a690
1216987839a30b2
137a4c133c0730
14364627d64c3c
151938335015b5
hexcb60a1b1ac6

13975993129670 has 128 divisors (see below), whose sum is σ = 30044330289792. Its totient is φ = 4613569228800.

The previous prime is 13975993129663. The next prime is 13975993129757. The reversal of 13975993129670 is 7692139957931.

It is a junction number, because it is equal to n+sod(n) for n = 13975993129594 and 13975993129603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 798756362 + ... + 798773858.

It is an arithmetic number, because the mean of its divisors is an integer number (234721330389).

Almost surely, 213975993129670 is an apocalyptic number.

13975993129670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13975993129670 is an abundant number, since it is smaller than the sum of its proper divisors (16068337160122).

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

13975993129670 is a wasteful number, since it uses less digits than its factorization.

13975993129670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26746.

The product of its (nonzero) digits is 173604060, while the sum is 71.

The spelling of 13975993129670 in words is "thirteen trillion, nine hundred seventy-five billion, nine hundred ninety-three million, one hundred twenty-nine thousand, six hundred seventy".

Divisors: 1 2 5 10 11 13 22 26 55 61 65 110 122 130 143 286 305 610 671 715 793 1342 1430 1586 3355 3965 6710 7930 8723 9157 17446 17497 18314 34994 43615 45785 87230 87485 91570 100727 119041 174970 192467 201454 227461 238082 384934 454922 503635 558577 595205 962335 1007270 1067317 1117154 1137305 1190410 1309451 1924670 2134634 2274610 2502071 2618902 2792885 5004142 5336585 5585770 6144347 6547255 7261501 10673170 11740487 12288694 12510355 13094510 13875121 14523002 23480974 25020710 27750242 30721735 36307505 58702435 61443470 69375605 72615010 79876511 117404870 138751210 152626331 159753022 160220029 305252662 320440058 399382555 763131655 798765110 801100145 1526263310 1602200290 1762420319 2082860377 3524840638 4165720754 8812101595 9773421769 10414301885 17624203190 19546843538 20828603770 22911464147 45822928294 48867108845 97734217690 107507639459 114557320735 127054482997 215015278918 229114641470 254108965994 537538197295 635272414985 1075076394590 1270544829970 1397599312967 2795198625934 6987996564835 13975993129670