Search a number
-
+
20895403488 = 253435395507
BaseRepresentation
bin10011011101011101…
…101000110111100000
31222221020101110220220
4103131131220313200
5320243210402423
613333233003040
71336543666461
oct233535506740
958836343826
1020895403488
118952a01a03
1240719b3480
131c8005209b
1410231a6d68
1582468a9e3
hex4dd768de0

20895403488 has 96 divisors (see below), whose sum is σ = 57185606016. Its totient is φ = 6674723328.

The previous prime is 20895403481. The next prime is 20895403493. The reversal of 20895403488 is 88430459802.

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

It is a super-2 number, since 2×208954034882 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20895403488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20895403481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171031 + ... + 266537.

It is an arithmetic number, because the mean of its divisors is an integer number (595683396).

Almost surely, 220895403488 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 20895403488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28592803008).

20895403488 is an abundant number, since it is smaller than the sum of its proper divisors (36290202528).

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

20895403488 is a wasteful number, since it uses less digits than its factorization.

20895403488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95616 (or 95608 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 20895403488 in words is "twenty billion, eight hundred ninety-five million, four hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 53 86 96 106 129 159 172 212 258 318 344 424 516 636 688 848 1032 1272 1376 1696 2064 2279 2544 4128 4558 5088 6837 9116 13674 18232 27348 36464 54696 72928 95507 109392 191014 218784 286521 382028 573042 764056 1146084 1528112 2292168 3056224 4106801 4584336 5061871 8213602 9168672 10123742 12320403 15185613 16427204 20247484 24640806 30371226 32854408 40494968 49281612 60742452 65708816 80989936 98563224 121484904 131417632 161979872 197126448 217660453 242969808 394252896 435320906 485939616 652981359 870641812 1305962718 1741283624 2611925436 3482567248 5223850872 6965134496 10447701744 20895403488