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20435467024 = 2471920894597
BaseRepresentation
bin10011000010000011…
…000111101100010000
31221202011221021201001
4103002003013230100
5313322434421044
613215442551344
71322260414030
oct230203075420
957664837631
1020435467024
118737319925
123b63968554
131c0898672b
14dbc07d8c0
157e90d82d4
hex4c20c7b10

20435467024 has 80 divisors (see below), whose sum is σ = 47664707200. Its totient is φ = 8291331072.

The previous prime is 20435466991. The next prime is 20435467093. The reversal of 20435467024 is 42076453402.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4443094 + ... + 4447690.

It is an arithmetic number, because the mean of its divisors is an integer number (595808840).

Almost surely, 220435467024 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 20435467024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23832353600).

20435467024 is an abundant number, since it is smaller than the sum of its proper divisors (27229240176).

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

20435467024 is a wasteful number, since it uses less digits than its factorization.

20435467024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 20435467024 in words is "twenty billion, four hundred thirty-five million, four hundred sixty-seven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2089 2128 4178 4597 8356 9194 14623 16712 18388 29246 32179 33424 36776 39691 58492 64358 73552 79382 87343 116984 128716 158764 174686 233968 257432 277837 317528 349372 514864 555674 611401 635056 698744 1111348 1222802 1397488 2222696 2445604 4445392 4891208 9603133 9782416 19206266 38412532 67221931 76825064 134443862 153650128 182459527 268887724 364919054 537775448 729838108 1075550896 1277216689 1459676216 2554433378 2919352432 5108866756 10217733512 20435467024