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2604642020000 = 2554313416077
BaseRepresentation
bin100101111001110000110…
…000110010101010100000
3100020000000222110221202222
4211321300300302222200
5320133301324120000
65312320033530212
7356115312606056
oct45716060625240
910200028427688
102604642020000
11914693576749
12360969413968
1315b802b31c77
14900cb44c1d6
1547b4563da85
hex25e70c32aa0

2604642020000 has 120 divisors (see below), whose sum is σ = 6428297751876. Its totient is φ = 1038525696000.

The previous prime is 2604642019979. The next prime is 2604642020009. The reversal of 2604642020000 is 202464062.

It can be written as a sum of positive squares in 10 ways, for example, as 814708422544 + 1789933597456 = 902612^2 + 1337884^2 .

It is not an unprimeable number, because it can be changed into a prime (2604642020009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6051962 + ... + 6468038.

Almost surely, 22604642020000 is an apocalyptic number.

2604642020000 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 2604642020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214148875938).

2604642020000 is an abundant number, since it is smaller than the sum of its proper divisors (3823655731876).

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

2604642020000 is an equidigital number, since it uses as much as digits as its factorization.

2604642020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416420 (or 416397 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2604642020000 its reverse (202464062), we get a palindrome (2604844484062).

The spelling of 2604642020000 in words is "two trillion, six hundred four billion, six hundred forty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 313 400 500 625 626 800 1000 1250 1252 1565 2000 2500 2504 3130 4000 5000 5008 6260 7825 10000 10016 12520 15650 20000 25040 31300 39125 50080 62600 78250 125200 156500 195625 250400 313000 391250 416077 626000 782500 832154 1252000 1565000 1664308 2080385 3130000 3328616 4160770 6260000 6657232 8321540 10401925 13314464 16643080 20803850 33286160 41607700 52009625 66572320 83215400 104019250 130232101 166430800 208038500 260048125 260464202 332861600 416077000 520096250 520928404 651160505 832154000 1040192500 1041856808 1302321010 1664308000 2080385000 2083713616 2604642020 3255802525 4160770000 4167427232 5209284040 6511605050 8321540000 10418568080 13023210100 16279012625 20837136160 26046420200 32558025250 52092840400 65116050500 81395063125 104185680800 130232101000 162790126250 260464202000 325580252500 520928404000 651160505000 1302321010000 2604642020000