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2622421672 = 231323136197
BaseRepresentation
bin1001110001001110…
…1111101010101000
320202202112211020121
42130103233222220
520332314443142
61112115333024
7121662134143
oct23423575250
96682484217
102622421672
11112631a242
126122b1174
1332a3c3700
141ac3db05a
1510535dc67
hex9c4efaa8

2622421672 has 48 divisors (see below), whose sum is σ = 5342242140. Its totient is φ = 1206286848.

The previous prime is 2622421651. The next prime is 2622421673. The reversal of 2622421672 is 2761242262.

It can be written as a sum of positive squares in 6 ways, for example, as 367236 + 2622054436 = 606^2 + 51206^2 .

It is not an unprimeable number, because it can be changed into a prime (2622421673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420078 + ... + 426274.

Almost surely, 22622421672 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 2622421672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671121070).

2622421672 is an abundant number, since it is smaller than the sum of its proper divisors (2719820468).

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

2622421672 is a wasteful number, since it uses less digits than its factorization.

2622421672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6525 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 2622421672 is about 51209.5857432961. The cubic root of 2622421672 is about 1379.0102950665.

The spelling of 2622421672 in words is "two billion, six hundred twenty-two million, four hundred twenty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 169 313 338 626 676 1252 1352 2504 4069 6197 8138 12394 16276 24788 32552 49576 52897 80561 105794 161122 211588 322244 423176 644488 1047293 1939661 2094586 3879322 4189172 7758644 8378344 15517288 25215593 50431186 100862372 201724744 327802709 655605418 1311210836 2622421672