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2406325348608 = 28316742194447
BaseRepresentation
bin100011000001000100001…
…010101110100100000000
322112001010221200020000120
4203001010022232210000
5303411123242123413
65041241155220240
7335564661660456
oct43010412564400
98461127606016
102406325348608
11848575a21215
1232a4415a7680
13145bb94a302c
1484676b529d6
15428d9d78723
hex230442ae900

2406325348608 has 144 divisors (see below), whose sum is σ = 6445660139520. Its totient is φ = 796937177088.

The previous prime is 2406325348607. The next prime is 2406325348619. The reversal of 2406325348608 is 8068435236042.

It is not an unprimeable number, because it can be changed into a prime (2406325348607) 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 15 ways as a sum of consecutive naturals, for example, 541109841 + ... + 541114287.

Almost surely, 22406325348608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406325348608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222830069760).

2406325348608 is an abundant number, since it is smaller than the sum of its proper divisors (4039334790912).

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

2406325348608 is a wasteful number, since it uses less digits than its factorization.

2406325348608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8852 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 2406325348608 in words is "two trillion, four hundred six billion, three hundred twenty-five million, three hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 256 334 384 501 668 768 1002 1336 2004 2672 4008 4219 4447 5344 8016 8438 8894 10688 12657 13341 16032 16876 17788 21376 25314 26682 32064 33752 35576 42752 50628 53364 64128 67504 71152 101256 106728 128256 135008 142304 202512 213456 270016 284608 405024 426912 540032 569216 704573 742649 810048 853824 1080064 1138432 1409146 1485298 1620096 1707648 2113719 2227947 2818292 2970596 3240192 3415296 4227438 4455894 5636584 5941192 8454876 8911788 11273168 11882384 16909752 17823576 18761893 22546336 23764768 33819504 35647152 37523786 45092672 47529536 56285679 67639008 71294304 75047572 90185344 95059072 112571358 135278016 142588608 150095144 180370688 190118144 225142716 270556032 285177216 300190288 450285432 541112064 570354432 600380576 900570864 1200761152 1801141728 2401522304 3133236131 3602283456 4803044608 6266472262 7204566912 9399708393 12532944524 14409133824 18799416786 25065889048 37598833572 50131778096 75197667144 100263556192 150395334288 200527112384 300790668576 401054224768 601581337152 802108449536 1203162674304 2406325348608