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135320788656 = 24327619671277
BaseRepresentation
bin111111000000110111…
…1110101111010110000
3110221021201221022111100
41332001233311322300
54204114110214111
6142055430044400
712530242503504
oct1760157657260
9427251838440
10135320788656
115243106a429
12222867a9700
13c9b732c5a1
146799dd2304
1537c0033756
hex1f81bf5eb0

135320788656 has 120 divisors (see below), whose sum is σ = 379897318944. Its totient is φ = 44965831680.

The previous prime is 135320788643. The next prime is 135320788663. The reversal of 135320788656 is 656887023531.

135320788656 is a `hidden beast` number, since 1 + 353 + 207 + 8 + 86 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105967090 + ... + 105968366.

Almost surely, 2135320788656 is an apocalyptic number.

135320788656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135320788656 is an abundant number, since it is smaller than the sum of its proper divisors (244576530288).

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

135320788656 is a wasteful number, since it uses less digits than its factorization.

135320788656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 135320788656 in words is "one hundred thirty-five billion, three hundred twenty million, seven hundred eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 761 967 1277 1522 1934 2283 2554 2901 3044 3831 3868 4566 5108 5802 6088 6849 7662 7736 8703 9132 10216 11493 11604 12176 13698 15324 15472 17406 18264 20432 22986 23208 27396 30648 34812 36528 45972 46416 54792 61296 69624 91944 109584 139248 183888 735887 971797 1234859 1471774 1943594 2207661 2469718 2915391 2943548 3704577 3887188 4415322 4939436 5830782 5887096 6622983 7409154 7774376 8746173 8830644 9878872 11113731 11661564 11774192 13245966 14818308 15548752 17492346 17661288 19757744 22227462 23323128 26491932 29636616 34984692 35322576 44454924 46646256 52983864 59273232 69969384 88909848 105967728 139938768 177819696 939727699 1879455398 2819183097 3758910796 5638366194 7517821592 8457549291 11276732388 15035643184 16915098582 22553464776 33830197164 45106929552 67660394328 135320788656