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135684103712520 = 233511241426518621
BaseRepresentation
bin11110110110011101101010…
…110011011010111100001000
3122210102021101110221201221210
4132312131222303122330020
5120241022021022300040
61200324230003133120
740402565402113656
oct3666355263327410
9583367343851853
10135684103712520
113a26233a2a5310
12132745a39741a0
135a92c576736cc
142571207993dd6
1510a46c5516480
hex7b676acdaf08

135684103712520 has 128 divisors (see below), whose sum is σ = 445899628183680. Its totient is φ = 32756630016000.

The previous prime is 135684103712489. The next prime is 135684103712543. The reversal of 135684103712520 is 25217301486531.

It is a self number, because there is not a number n which added to its sum of digits gives 135684103712520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212941191 + ... + 213577430.

It is an arithmetic number, because the mean of its divisors is an integer number (3483590845185).

Almost surely, 2135684103712520 is an apocalyptic number.

135684103712520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135684103712520 is an abundant number, since it is smaller than the sum of its proper divisors (310215524471160).

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

135684103712520 is a wasteful number, since it uses less digits than its factorization.

135684103712520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426518887 (or 426518883 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 135684103712520 in words is "one hundred thirty-five trillion, six hundred eighty-four billion, one hundred three million, seven hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 241 264 330 440 482 660 723 964 1205 1320 1446 1928 2410 2651 2892 3615 4820 5302 5784 7230 7953 9640 10604 13255 14460 15906 21208 26510 28920 31812 39765 53020 63624 79530 106040 159060 318120 426518621 853037242 1279555863 1706074484 2132593105 2559111726 3412148968 4265186210 4691704831 5118223452 6397779315 8530372420 9383409662 10236446904 12795558630 14075114493 17060744840 18766819324 23458524155 25591117260 28150228986 37533638648 46917048310 51182234520 56300457972 70375572465 93834096620 102790987661 112600915944 140751144930 187668193240 205581975322 281502289860 308372962983 411163950644 513954938305 563004579720 616745925966 822327901288 1027909876610 1130700864271 1233491851932 1541864814915 2055819753220 2261401728542 2466983703864 3083729629830 3392102592813 4111639506440 4522803457084 5653504321355 6167459259660 6784205185626 9045606914168 11307008642710 12334918519320 13568410371252 16960512964065 22614017285420 27136820742504 33921025928130 45228034570840 67842051856260 135684103712520