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135768640260 = 223511892311349
BaseRepresentation
bin111111001110001110…
…0010000101100000100
3110222102221122112101210
41332130130100230010
54211023232442020
6142212105051420
712544321254351
oct1763434205404
9428387575353
10135768640260
1152640948a20
1222390786b70
13ca59056436
1467dd691628
1537e94ea3e0
hex1f9c710b04

135768640260 has 96 divisors (see below), whose sum is σ = 419371344000. Its totient is φ = 32543779840.

The previous prime is 135768640247. The next prime is 135768640313. The reversal of 135768640260 is 62046867531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096935 + ... + 1214414.

It is an arithmetic number, because the mean of its divisors is an integer number (4368451500).

Almost surely, 2135768640260 is an apocalyptic number.

135768640260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135768640260 is an abundant number, since it is smaller than the sum of its proper divisors (283602703740).

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

135768640260 is a wasteful number, since it uses less digits than its factorization.

135768640260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311461 (or 2311459 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 135768640260 in words is "one hundred thirty-five billion, seven hundred sixty-eight million, six hundred forty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 356 445 534 660 890 979 1068 1335 1780 1958 2670 2937 3916 4895 5340 5874 9790 11748 14685 19580 29370 58740 2311349 4622698 6934047 9245396 11556745 13868094 23113490 25424839 27736188 34670235 46226980 50849678 69340470 76274517 101699356 127124195 138680940 152549034 205710061 254248390 305098068 381372585 411420122 508496780 617130183 762745170 822840244 1028550305 1234260366 1525490340 2057100610 2262810671 2468520732 3085650915 4114201220 4525621342 6171301830 6788432013 9051242684 11314053355 12342603660 13576864026 22628106710 27153728052 33942160065 45256213420 67884320130 135768640260