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21058171392 = 29399713751
BaseRepresentation
bin10011100111001010…
…100011001000000000
32000100120122221111210
4103213022203020000
5321111342441032
613401325410120
71343561334456
oct234712431000
960316587453
1021058171392
118a26874935
1240b8409940
131ca79a165b
14103aa569d6
15833add2cc
hex4e72a3200

21058171392 has 80 divisors (see below), whose sum is σ = 56160637632. Its totient is φ = 7011840000.

The previous prime is 21058171367. The next prime is 21058171399. The reversal of 21058171392 is 29317185012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21058171392.

It is not an unprimeable number, because it can be changed into a prime (21058171399) 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, 1524517 + ... + 1538267.

Almost surely, 221058171392 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 21058171392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080318816).

21058171392 is an abundant number, since it is smaller than the sum of its proper divisors (35102466240).

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

21058171392 is an equidigital number, since it uses as much as digits as its factorization.

21058171392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14769 (or 14753 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 21058171392 in words is "twenty-one billion, fifty-eight million, one hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 997 1536 1994 2991 3988 5982 7976 11964 13751 15952 23928 27502 31904 41253 47856 55004 63808 82506 95712 110008 127616 165012 191424 220016 255232 330024 382848 440032 510464 660048 765696 880064 1320096 1531392 1760128 2640192 3520256 5280384 7040512 10560768 13709747 21121536 27419494 41129241 54838988 82258482 109677976 164516964 219355952 329033928 438711904 658067856 877423808 1316135712 1754847616 2632271424 3509695232 5264542848 7019390464 10529085696 21058171392