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500051061006 = 237243136129063
BaseRepresentation
bin1110100011011010101…
…11011010100100001110
31202210201102021212202220
413101231113122210032
531143101032423011
61021415325400210
751061505613300
oct7215527324416
91683642255686
10500051061006
11183085873382
1280ab6109066
13382018b80a3
141a2b9d15970
15d01a36c506
hex746d5da90e

500051061006 has 96 divisors (see below), whose sum is σ = 1191355216128. Its totient is φ = 139441800960.

The previous prime is 500051061001. The next prime is 500051061071. The reversal of 500051061006 is 600160150005.

It is a super-2 number, since 2×5000510610062 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500051061001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17191231 + ... + 17220293.

It is an arithmetic number, because the mean of its divisors is an integer number (12409950168).

Almost surely, 2500051061006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500051061006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595677608064).

500051061006 is an abundant number, since it is smaller than the sum of its proper divisors (691304155122).

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

500051061006 is a wasteful number, since it uses less digits than its factorization.

500051061006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30486 (or 30479 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 500051061006 in words is "five hundred billion, fifty-one million, sixty-one thousand, six".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 903 1361 1806 2107 2722 4083 4214 6321 8166 9527 12642 19054 28581 29063 57162 58126 58523 66689 87189 117046 133378 174378 175569 200067 203441 351138 400134 406882 409661 610323 819322 1220646 1228983 1249709 1424087 2457966 2499418 2848174 2867627 3749127 4272261 5735254 7498254 8544522 8602881 8747963 17205762 17495926 26243889 39554743 52487778 61235741 79109486 118664229 122471482 183707223 237328458 276883201 367414446 553766402 830649603 1661299206 1700853949 1938182407 3401707898 3876364814 5102561847 5814547221 10205123694 11629094442 11905977643 23811955286 35717932929 71435865858 83341843501 166683687002 250025530503 500051061006