Search a number
-
+
135686643866610 = 235411019108257453
BaseRepresentation
bin11110110110100000000010…
…001101010101101111110010
3122210102111221111200221021220
4132312200002031111233302
5120241042221312212420
61200325330023325510
740403015345062014
oct3666400215255762
9583374844627256
10135686643866610
113a263423134711
1213274b925b0896
135a932709c1875
1425713a90981b4
1510a47c3524840
hex7b6802355bf2

135686643866610 has 64 divisors (see below), whose sum is σ = 333917951713920. Its totient is φ = 35265947563520.

The previous prime is 135686643866567. The next prime is 135686643866617. The reversal of 135686643866610 is 16668346686531.

135686643866610 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135686643866617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52875357 + ... + 55382096.

It is an arithmetic number, because the mean of its divisors is an integer number (5217467995530).

Almost surely, 2135686643866610 is an apocalyptic number.

135686643866610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135686643866610 is an abundant number, since it is smaller than the sum of its proper divisors (198231307847310).

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

135686643866610 is a wasteful number, since it uses less digits than its factorization.

135686643866610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108258523.

The product of its (nonzero) digits is 537477120, while the sum is 69.

The spelling of 135686643866610 in words is "one hundred thirty-five trillion, six hundred eighty-six billion, six hundred forty-three million, eight hundred sixty-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1019 1230 2038 3057 5095 6114 10190 15285 30570 41779 83558 125337 208895 250674 417790 626685 1253370 108257453 216514906 324772359 541287265 649544718 1082574530 1623861795 3247723590 4438555573 8877111146 13315666719 22192777865 26631333438 44385555730 66578333595 110314344607 133156667190 220628689214 330943033821 551571723035 661886067642 1103143446070 1654715169105 3309430338210 4522888128887 9045776257774 13568664386661 22614440644435 27137328773322 45228881288870 67843321933305 135686643866610