Search a number
-
+
534295388106 = 23343420154773
BaseRepresentation
bin1111100011001100111…
…11001001111111001010
31220002002222000221101000
413301212133021333022
532223214104404411
61045241340235430
753413223602524
oct7614637117712
91802088027330
10534295388106
111966588aa157
128767253bb76
133b4cb3a912c
141bc07d14a14
15dd718ce956
hex7c667c9fca

534295388106 has 64 divisors (see below), whose sum is σ = 1215246637440. Its totient is φ = 173912054400.

The previous prime is 534295388093. The next prime is 534295388111. The reversal of 534295388106 is 601883592435.

534295388106 is a `hidden beast` number, since 5 + 3 + 4 + 29 + 538 + 81 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9727336 + ... + 9782108.

It is an arithmetic number, because the mean of its divisors is an integer number (18988228710).

Almost surely, 2534295388106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534295388106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607623318720).

534295388106 is an abundant number, since it is smaller than the sum of its proper divisors (680951249334).

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

534295388106 is a wasteful number, since it uses less digits than its factorization.

534295388106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59028 (or 59022 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 534295388106 in words is "five hundred thirty-four billion, two hundred ninety-five million, three hundred eighty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 4201 8402 12603 25206 37809 54773 75618 109546 113427 164319 180643 226854 328638 361286 492957 541929 985914 1083858 1478871 1625787 2355239 2957742 3251574 4710478 4877361 7065717 9754722 14131434 21197151 42394302 63591453 127182906 230101373 460202746 690304119 1380608238 2070912357 4141824714 6212737071 9894359039 12425474142 19788718078 29683077117 59366154234 89049231351 178098462702 267147694053 534295388106