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20942924832 = 253272718489
BaseRepresentation
bin10011100000010010…
…111010110000100000
32000001112210210221200
4103200102322300200
5320342342043312
613342051321200
71340661631614
oct234022726040
960045723850
1020942924832
11897780a445
1240858b0200
131c89b5021b
141029617344
158289260dc
hex4e04bac20

20942924832 has 36 divisors (see below), whose sum is σ = 59556443310. Its totient is φ = 6980974848.

The previous prime is 20942924831. The next prime is 20942924843. The reversal of 20942924832 is 23842924902.

It can be written as a sum of positive squares in only one way, i.e., 18658467216 + 2284457616 = 136596^2 + 47796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×209429248322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20942924831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36358957 + ... + 36359532.

Almost surely, 220942924832 is an apocalyptic number.

It is an amenable number.

20942924832 is an abundant number, since it is smaller than the sum of its proper divisors (38613518478).

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

20942924832 is a wasteful number, since it uses less digits than its factorization.

20942924832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72718505 (or 72718494 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 20942924832 in words is "twenty billion, nine hundred forty-two million, nine hundred twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 72718489 145436978 218155467 290873956 436310934 581747912 654466401 872621868 1163495824 1308932802 1745243736 2326991648 2617865604 3490487472 5235731208 6980974944 10471462416 20942924832