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2661425184 = 253112818969
BaseRepresentation
bin1001111010100010…
…0010000000100000
320212110221102000010
42132220202000200
520422311101214
61120031324520
7122644512045
oct23650420040
96773842003
102661425184
11114633a150
12623380740
133354cb802
141b36711cc
151089b5659
hex9ea22020

2661425184 has 96 divisors (see below), whose sum is σ = 7649328960. Its totient is φ = 803532800.

The previous prime is 2661425177. The next prime is 2661425189. The reversal of 2661425184 is 4815241662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2661425189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292252 + ... + 301220.

It is an arithmetic number, because the mean of its divisors is an integer number (79680510).

Almost surely, 22661425184 is an apocalyptic number.

2661425184 is a gapful number since it is divisible by the number (24) 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 2661425184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824664480).

2661425184 is an abundant number, since it is smaller than the sum of its proper divisors (4987903776).

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

2661425184 is a wasteful number, since it uses less digits than its factorization.

2661425184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274 (or 9266 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 2661425184 is about 51589.0025489929. The cubic root of 2661425184 is about 1385.8133924997.

The spelling of 2661425184 in words is "two billion, six hundred sixty-one million, four hundred twenty-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 281 352 528 562 843 1056 1124 1686 2248 3091 3372 4496 6182 6744 8969 8992 9273 12364 13488 17938 18546 24728 26907 26976 35876 37092 49456 53814 71752 74184 98659 98912 107628 143504 148368 197318 215256 287008 295977 296736 394636 430512 591954 789272 861024 1183908 1578544 2367816 2520289 3157088 4735632 5040578 7560867 9471264 10081156 15121734 20162312 27723179 30243468 40324624 55446358 60486936 80649248 83169537 110892716 120973872 166339074 221785432 241947744 332678148 443570864 665356296 887141728 1330712592 2661425184