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2664551424 = 21032273821
BaseRepresentation
bin1001111011010001…
…1101010000000000
320212200211020101210
42132310131100000
520424111121144
61120222330120
7123013212333
oct23664352000
96780736353
102664551424
111148084a17
12624429940
13336054762
141b3c4661a
15108dd1ab9
hex9ed1d400

2664551424 has 88 divisors (see below), whose sum is σ = 7135154208. Its totient is φ = 884039680.

The previous prime is 2664551399. The next prime is 2664551429. The reversal of 2664551424 is 4241554662.

It is a super-2 number, since 2×26645514242 = 14199668582280855552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664551429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 695434 + ... + 699254.

Almost surely, 22664551424 is an apocalyptic number.

2664551424 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 2664551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567577104).

2664551424 is an abundant number, since it is smaller than the sum of its proper divisors (4470602784).

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

2664551424 is a wasteful number, since it uses less digits than its factorization.

2664551424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4053 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 2664551424 is about 51619.2931373532. The cubic root of 2664551424 is about 1386.3557948748.

The spelling of 2664551424 in words is "two billion, six hundred sixty-four million, five hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 454 512 681 768 908 1024 1362 1536 1816 2724 3072 3632 3821 5448 7264 7642 10896 11463 14528 15284 21792 22926 29056 30568 43584 45852 58112 61136 87168 91704 116224 122272 174336 183408 232448 244544 348672 366816 489088 697344 733632 867367 978176 1467264 1734734 1956352 2602101 2934528 3469468 3912704 5204202 5869056 6938936 10408404 11738112 13877872 20816808 27755744 41633616 55511488 83267232 111022976 166534464 222045952 333068928 444091904 666137856 888183808 1332275712 2664551424