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506025241134 = 237291117371939
BaseRepresentation
bin1110101110100010111…
…01000110101000101110
31210101010202202200020120
413113101131012220232
531242314430204014
61024244221025410
751362530403130
oct7272135065056
91711122680216
10506025241134
11185671069326
12820a29b5266
133894451370a
141a6c5523050
15d269aa4ba9
hex75d1746a2e

506025241134 has 64 divisors (see below), whose sum is σ = 1197587289600. Its totient is φ = 139467823488.

The previous prime is 506025241129. The next prime is 506025241201. The reversal of 506025241134 is 431142520605.

It is a junction number, because it is equal to n+sod(n) for n = 506025241095 and 506025241104.

It is a congruent number.

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, 1174537 + ... + 1546475.

It is an arithmetic number, because the mean of its divisors is an integer number (18712301400).

Almost surely, 2506025241134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506025241134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598793644800).

506025241134 is an abundant number, since it is smaller than the sum of its proper divisors (691562048466).

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

506025241134 is a wasteful number, since it uses less digits than its factorization.

506025241134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373097.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 506025241134 its reverse (431142520605), we get a palindrome (937167761739).

The spelling of 506025241134 in words is "five hundred six billion, twenty-five million, two hundred forty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1117 1218 2234 3351 6702 7819 15638 23457 32393 46914 64786 97179 194358 226751 371939 453502 680253 743878 1115817 1360506 2231634 2603573 5207146 7810719 10786231 15621438 21572462 32358693 64717386 75503617 151007234 226510851 415455863 453021702 830911726 1246367589 2492735178 2908191041 5816382082 8724573123 12048220027 17449146246 24096440054 36144660081 72289320162 84337540189 168675080378 253012620567 506025241134