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135313046770 = 251129233307593
BaseRepresentation
bin111111000000101001…
…0010011110011110010
3110221021012100222121211
41332001102103303302
54204110114444040
6142054552110334
712530116630426
oct1760122236362
9427235328554
10135313046770
1152427761880
12222840953aa
13c9b584b7a5
146798d78b86
1537be5048ea
hex1f81493cf2

135313046770 has 128 divisors (see below), whose sum is σ = 277413776640. Its totient is φ = 47070535680.

The previous prime is 135313046753. The next prime is 135313046777. The reversal of 135313046770 is 77640313531.

It is not an unprimeable number, because it can be changed into a prime (135313046777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228183594 + ... + 228184186.

It is an arithmetic number, because the mean of its divisors is an integer number (2167295130).

Almost surely, 2135313046770 is an apocalyptic number.

135313046770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135313046770 is an abundant number, since it is smaller than the sum of its proper divisors (142100729870).

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

135313046770 is a wasteful number, since it uses less digits than its factorization.

135313046770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180.

The product of its (nonzero) digits is 158760, while the sum is 40.

The spelling of 135313046770 in words is "one hundred thirty-five billion, three hundred thirteen million, forty-six thousand, seven hundred seventy".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 233 290 307 319 466 593 614 638 1165 1186 1535 1595 2330 2563 2965 3070 3190 3377 5126 5930 6523 6754 6757 8903 12815 13046 13514 16885 17197 17806 25630 32615 33770 33785 34394 44515 65230 67570 71531 74327 85985 89030 97933 138169 143062 148654 171970 182051 189167 195866 276338 357655 364102 371635 378334 489665 690845 715310 743270 786841 910255 945835 979330 1381690 1519859 1573682 1820510 1891670 2002561 2074399 3039718 3934205 4005122 4006901 4148798 5279479 7599295 7868410 8013802 10012805 10371995 10558958 15198590 20025610 20034505 20743990 22818389 26397395 40069010 42417883 44075911 45636778 52794790 58074269 84835766 88151822 114091945 116148538 212089415 220379555 228183890 290371345 424178830 440759110 466596713 580742690 933193426 1230118607 2332983565 2460237214 4665967130 6150593035 12301186070 13531304677 27062609354 67656523385 135313046770