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21141600352 = 251999734877
BaseRepresentation
bin10011101100001000…
…110011100001100000
32000120101122120112021
4103230020303201200
5321244222202402
613413505511224
71345623431545
oct235410634140
960511576467
1021141600352
118a69978294
124120342514
131cbc0626c2
141047b72bcc
1583b0bcd37
hex4ec233860

21141600352 has 48 divisors (see below), whose sum is σ = 43858387440. Its totient is φ = 10004110848.

The previous prime is 21141600313. The next prime is 21141600353. The reversal of 21141600352 is 25300614112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21141600353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588738 + ... + 623614.

It is an arithmetic number, because the mean of its divisors is an integer number (913716405).

Almost surely, 221141600352 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 21141600352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21929193720).

21141600352 is an abundant number, since it is smaller than the sum of its proper divisors (22716787088).

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

21141600352 is a wasteful number, since it uses less digits than its factorization.

21141600352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35903 (or 35895 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 21141600352 in words is "twenty-one billion, one hundred forty-one million, six hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 997 1994 3988 7976 15952 18943 31904 34877 37886 69754 75772 139508 151544 279016 303088 558032 606176 662663 1116064 1325326 2650652 5301304 10602608 21205216 34772369 69544738 139089476 278178952 556357904 660675011 1112715808 1321350022 2642700044 5285400088 10570800176 21141600352