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20255427584 = 210719148727
BaseRepresentation
bin10010110111010100…
…010100110000000000
31221021122011100000122
4102313110110300000
5312440342140314
613145532035412
71314643202510
oct226724246000
957248140018
1020255427584
11865472a5a7
123b13602b68
131baa59a912
14da21b5840
157d83c328e
hex4b7514c00

20255427584 has 88 divisors (see below), whose sum is σ = 48711394560. Its totient is φ = 8223952896.

The previous prime is 20255427553. The next prime is 20255427589. The reversal of 20255427584 is 48572455202.

It is a super-3 number, since 3×202554275843 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20255427589) 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 7 ways as a sum of consecutive naturals, for example, 61829 + ... + 210555.

Almost surely, 220255427584 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 20255427584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24355697280).

20255427584 is an abundant number, since it is smaller than the sum of its proper divisors (28455966976).

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

20255427584 is a wasteful number, since it uses less digits than its factorization.

20255427584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148773 (or 148755 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 44.

The spelling of 20255427584 in words is "twenty billion, two hundred fifty-five million, four hundred twenty-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1024 1064 1216 1792 2128 2432 3584 4256 4864 7168 8512 9728 17024 19456 34048 68096 136192 148727 297454 594908 1041089 1189816 2082178 2379632 2825813 4164356 4759264 5651626 8328712 9518528 11303252 16657424 19037056 19780691 22606504 33314848 38074112 39561382 45213008 66629696 76148224 79122764 90426016 133259392 152296448 158245528 180852032 266518784 316491056 361704064 533037568 632982112 723408128 1066075136 1265964224 1446816256 2531928448 2893632512 5063856896 10127713792 20255427584