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42612104320 = 27566581413
BaseRepresentation
bin100111101011111000…
…010001110010000000
311001222201012011222221
4213223320101302000
51144232144314240
631324205140424
73035652624202
oct475370216200
9131881164887
1042612104320
1117087470745
12831285a714
1340312a2b16
1420c3480772
151195ea8a4a
hex9ebe11c80

42612104320 has 32 divisors (see below), whose sum is σ = 101869563420. Its totient is φ = 17044841472.

The previous prime is 42612104287. The next prime is 42612104369. The reversal of 42612104320 is 2340121624.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42610867776 + 1236544 = 206424^2 + 1112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33290067 + ... + 33291346.

Almost surely, 242612104320 is an apocalyptic number.

42612104320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42612104320 is an abundant number, since it is smaller than the sum of its proper divisors (59257459100).

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

42612104320 is an equidigital number, since it uses as much as digits as its factorization.

42612104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66581432 (or 66581420 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 42612104320 its reverse (2340121624), we get a palindrome (44952225944).

The spelling of 42612104320 in words is "forty-two billion, six hundred twelve million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 66581413 133162826 266325652 332907065 532651304 665814130 1065302608 1331628260 2130605216 2663256520 4261210432 5326513040 8522420864 10653026080 21306052160 42612104320