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20135405034 = 233718959009
BaseRepresentation
bin10010110000001010…
…011110010111101010
31220222021022120001000
4102300022132113222
5312214130430114
613130003335430
71311655055523
oct226012362752
956867276030
1020135405034
1185a2a02908
123a9b381576
131b8b766664
14d9029184a
157ccab5e09
hex4b029e5ea

20135405034 has 64 divisors (see below), whose sum is σ = 45886176000. Its totient is φ = 6542807040.

The previous prime is 20135405023. The next prime is 20135405053. The reversal of 20135405034 is 43050453102.

20135405034 is a `hidden beast` number, since 20 + 135 + 4 + 0 + 503 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20135404989 and 20135405007.

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, 311722 + ... + 370730.

It is an arithmetic number, because the mean of its divisors is an integer number (716971500).

Almost surely, 220135405034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20135405034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22943088000).

20135405034 is an abundant number, since it is smaller than the sum of its proper divisors (25750770966).

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

20135405034 is a wasteful number, since it uses less digits than its factorization.

20135405034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59180 (or 59174 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 20135405034 its reverse (43050453102), we get a palindrome (63185858136).

The spelling of 20135405034 in words is "twenty billion, one hundred thirty-five million, four hundred five thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 71 89 142 178 213 267 426 534 639 801 1278 1602 1917 2403 3834 4806 6319 12638 18957 37914 56871 59009 113742 118018 170613 177027 341226 354054 531081 1062162 1593243 3186486 4189639 5251801 8379278 10503602 12568917 15755403 25137834 31510806 37706751 47266209 75413502 94532418 113120253 141798627 226240506 283597254 372877871 745755742 1118633613 2237267226 3355900839 6711801678 10067702517 20135405034