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134027570711658 = 2313127139213145677
BaseRepresentation
bin11110011110010110111001…
…101111100000110001101010
3122120112220120211212020221210
4132132112321233200301222
5120031401431100233113
61153015225504013550
740142113100664261
oct3636267157406152
9576486524766853
10134027570711658
1139783856636608
12130475363012b6
1359a2990373c90
142514d7d0615d8
151076570c6d6c3
hex79e5b9be0c6a

134027570711658 has 128 divisors (see below), whose sum is σ = 293184878837760. Its totient is φ = 40600234402560.

The previous prime is 134027570711651. The next prime is 134027570711677. The reversal of 134027570711658 is 856117075720431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 134027570711598 and 134027570711607.

It is not an unprimeable number, because it can be changed into a prime (134027570711651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2934223516 + ... + 2934269192.

It is an arithmetic number, because the mean of its divisors is an integer number (2290506865920).

Almost surely, 2134027570711658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134027570711658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146592439418880).

134027570711658 is an abundant number, since it is smaller than the sum of its proper divisors (159157308126102).

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

134027570711658 is a wasteful number, since it uses less digits than its factorization.

134027570711658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48092.

The product of its (nonzero) digits is 9878400, while the sum is 57.

The spelling of 134027570711658 in words is "one hundred thirty-four trillion, twenty-seven billion, five hundred seventy million, seven hundred eleven thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 13 26 39 78 127 139 254 278 381 417 762 834 1651 1807 2131 3302 3614 4262 4953 5421 6393 9906 10842 12786 17653 27703 35306 45677 52959 55406 83109 91354 105918 137031 166218 229489 270637 274062 296209 458978 541274 592418 593801 688467 811911 888627 1187602 1376934 1623822 1777254 1781403 3518281 3562806 3850717 5800979 6349103 7036562 7701434 10554843 11552151 11601958 12698206 17402937 19047309 21109686 23104302 34805874 37618543 38094618 75237086 75412727 82538339 97337687 112855629 150825454 165076678 194675374 225711258 226238181 247615017 292013061 452476362 489041059 495230034 584026122 806336081 978082118 1265389931 1467123177 1612672162 2419008243 2530779862 2934246354 3796169793 4838016486 7592339586 10482369053 12361886249 13529938493 20964738106 24723772498 27059876986 31447107159 37085658747 40589815479 62894214318 74171317494 81179630958 160704521237 175889200409 321409042474 351778400818 482113563711 527667601227 964227127422 1055335202454 1718302188611 3436604377222 5154906565833 10309813131666 22337928451943 44675856903886 67013785355829 134027570711658