Search a number
-
+
2630114644100 = 2252179353416243
BaseRepresentation
bin100110010001011111000…
…011001001000010000100
3100022102210012201022222012
4212101133003021002010
5321042433322102400
65332131420353352
7361006456415216
oct46213703110204
910272705638865
102630114644100
119244751711a9
123658980a5858
13161032256ac8
14914264a25b6
1548636a6cd35
hex2645f0c9084

2630114644100 has 72 divisors (see below), whose sum is σ = 5755505686560. Its totient is φ = 1043202350080.

The previous prime is 2630114644009. The next prime is 2630114644177. The reversal of 2630114644100 is 14464110362.

It is a super-2 number, since 2×26301146441002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6110579 + ... + 6526821.

It is an arithmetic number, because the mean of its divisors is an integer number (79937578980).

Almost surely, 22630114644100 is an apocalyptic number.

2630114644100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2630114644100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877752843280).

2630114644100 is an abundant number, since it is smaller than the sum of its proper divisors (3125391042460).

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

2630114644100 is a wasteful number, since it uses less digits than its factorization.

2630114644100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416789 (or 416782 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 2630114644100 its reverse (14464110362), we get a palindrome (2644578754462).

The spelling of 2630114644100 in words is "two trillion, six hundred thirty billion, one hundred fourteen million, six hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 353 358 706 716 895 1412 1765 1790 3530 3580 4475 7060 8825 8950 17650 17900 35300 63187 126374 252748 315935 416243 631870 832486 1263740 1579675 1664972 2081215 3159350 4162430 6318700 8324860 10406075 20812150 41624300 74507497 146933779 149014994 293867558 298029988 372537485 587735116 734668895 745074970 1469337790 1490149940 1862687425 2938675580 3673344475 3725374850 7346688950 7450749700 14693377900 26301146441 52602292882 105204585764 131505732205 263011464410 526022928820 657528661025 1315057322050 2630114644100