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136024322264 = 231923103503751
BaseRepresentation
bin111111010101110101…
…1100111000011011000
3111000002202202112011122
41332223223213003120
54212034211303024
6142253321144412
712553544443055
oct1765353470330
9430082675148
10136024322264
1152762202666
122244232b108
13ca9a00816c
14682560a02c
153811ba2d5e
hex1fabae70d8

136024322264 has 128 divisors (see below), whose sum is σ = 283801190400. Its totient is φ = 60830352000.

The previous prime is 136024322263. The next prime is 136024322293. The reversal of 136024322264 is 462223420631.

It is a happy number.

136024322264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136024322263) 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, 181123889 + ... + 181124639.

It is an arithmetic number, because the mean of its divisors is an integer number (2217196800).

Almost surely, 2136024322264 is an apocalyptic number.

It is an amenable number.

136024322264 is an abundant number, since it is smaller than the sum of its proper divisors (147776868136).

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

136024322264 is a wasteful number, since it uses less digits than its factorization.

136024322264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 136024322264 its reverse (462223420631), we get a palindrome (598247742895).

The spelling of 136024322264 in words is "one hundred thirty-six billion, twenty-four million, three hundred twenty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 19 23 38 46 76 92 103 152 184 206 412 437 503 751 824 874 1006 1502 1748 1957 2012 2369 3004 3496 3914 4024 4738 6008 7828 9476 9557 11569 14269 15656 17273 18952 19114 23138 28538 34546 38228 45011 46276 51809 57076 69092 76456 77353 90022 92552 103618 114152 138184 154706 180044 207236 219811 309412 328187 360088 377753 414472 439622 618824 656374 755506 879244 984371 1191607 1312748 1469707 1511012 1758488 1779119 1968742 2383214 2625496 2939414 3022024 3558238 3937484 4766428 5878828 7116476 7177307 7874968 8688319 9532856 11757656 14232952 14354614 17376638 22640533 28709228 33803261 34753276 38908559 45281066 57418456 67606522 69506552 77817118 90562132 135213044 155634236 165078061 181124264 270426088 311268472 330156122 660312244 739262621 894896857 1320624488 1478525242 1789793714 2957050484 3579587428 5914100968 7159174856 17003040283 34006080566 68012161132 136024322264