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2187351580134 = 237247421376003
BaseRepresentation
bin11111110101001000010…
…100000101110111100110
321202002221021220020021110
4133311020110011313212
5241314144001031014
64352504435325450
7314013416442300
oct37651024056746
97662837806243
102187351580134
11773717a40a26
122b3b0b750886
1312b36029c026
1477c22ba4970
153bd70cebd59
hex1fd48505de6

2187351580134 has 96 divisors (see below), whose sum is σ = 5209574524416. Its totient is φ = 610206125760.

The previous prime is 2187351580133. The next prime is 2187351580171. The reversal of 2187351580134 is 4310851537812.

It is a super-2 number, since 2×21873515801342 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2187351580133) 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, 5629377 + ... + 6005379.

It is an arithmetic number, because the mean of its divisors is an integer number (54266401296).

Almost surely, 22187351580134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2187351580134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604787262208).

2187351580134 is an abundant number, since it is smaller than the sum of its proper divisors (3022222944282).

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

2187351580134 is a wasteful number, since it uses less digits than its factorization.

2187351580134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376490 (or 376483 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 2187351580134 in words is "two trillion, one hundred eighty-seven billion, three hundred fifty-one million, five hundred eighty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 329 421 658 842 987 1263 1974 2303 2526 2947 4606 5894 6909 8841 13818 17682 19787 20629 39574 41258 59361 61887 118722 123774 138509 277018 376003 415527 752006 831054 969563 1128009 1939126 2256018 2632021 2908689 5264042 5817378 7896063 15792126 17672141 18424147 35344282 36848294 53016423 55272441 106032846 110544882 123704987 158297263 247409974 316594526 371114961 474891789 742229922 865934909 949783578 1108080841 1731869818 2216161682 2597804727 3324242523 5195609454 6648485046 7439971361 7756565887 14879942722 15513131774 22319914083 23269697661 44639828166 46539395322 52079799527 104159599054 156239398581 312478797162 364558596689 729117193378 1093675790067 2187351580134