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20252071296 = 2732167105269
BaseRepresentation
bin10010110111000111…
…100001010110000000
31221021101211211001200
4102313013201112000
5312434012240141
613145332101200
71314602523432
oct226707412600
957241754050
1020252071296
118652847a06
123b12464800
131ba9994052
14da1980652
157d7e5dab6
hex4b71e1580

20252071296 has 96 divisors (see below), whose sum is σ = 58626968400. Its totient is φ = 6710203392.

The previous prime is 20252071289. The next prime is 20252071327. The reversal of 20252071296 is 69217025202.

It is a happy number.

20252071296 is a `hidden beast` number, since 2 + 0 + 2 + 520 + 7 + 129 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20252071296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139750 + ... + 245018.

Almost surely, 220252071296 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 20252071296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29313484200).

20252071296 is an abundant number, since it is smaller than the sum of its proper divisors (38374897104).

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

20252071296 is a wasteful number, since it uses less digits than its factorization.

20252071296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105456 (or 105441 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 20252071296 its reverse (69217025202), we get a palindrome (89469096498).

The spelling of 20252071296 in words is "twenty billion, two hundred fifty-two million, seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 288 334 384 501 576 668 1002 1152 1336 1503 2004 2672 3006 4008 5344 6012 8016 10688 12024 16032 21376 24048 32064 48096 64128 96192 105269 192384 210538 315807 421076 631614 842152 947421 1263228 1684304 1894842 2526456 3368608 3789684 5052912 6737216 7579368 10105824 13474432 15158736 17579923 20211648 30317472 35159846 40423296 52739769 60634944 70319692 105479538 121269888 140639384 158219307 210959076 281278768 316438614 421918152 562557536 632877228 843836304 1125115072 1265754456 1687672608 2250230144 2531508912 3375345216 5063017824 6750690432 10126035648 20252071296