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21000434084 = 22717437191427
BaseRepresentation
bin10011100011101110…
…010011000110100100
32000012120000120210222
4103203232103012210
5321002102342314
613351504103512
71342260513230
oct234356230644
960176016728
1021000434084
1189a7219a53
1240a1004b98
131c98a37576
1410331075c0
1582d9d5c8e
hex4e3b931a4

21000434084 has 96 divisors (see below), whose sum is σ = 45600952320. Its totient is φ = 8256471552.

The previous prime is 21000434053. The next prime is 21000434087. The reversal of 21000434084 is 48043400012.

It is not an unprimeable number, because it can be changed into a prime (21000434087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14715779 + ... + 14717205.

It is an arithmetic number, because the mean of its divisors is an integer number (475009920).

Almost surely, 221000434084 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 21000434084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22800476160).

21000434084 is an abundant number, since it is smaller than the sum of its proper divisors (24600518236).

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

21000434084 is a wasteful number, since it uses less digits than its factorization.

21000434084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 21000434084 its reverse (48043400012), we get a palindrome (69043834096).

The spelling of 21000434084 in words is "twenty-one billion, four hundred thirty-four thousand, eighty-four".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 119 172 238 301 476 602 719 731 1204 1427 1438 1462 2854 2876 2924 5033 5117 5708 9989 10066 10234 12223 19978 20132 20468 24259 24446 30917 39956 48518 48892 61361 61834 85561 97036 122722 123668 169813 171122 216419 245444 339626 342244 429527 432838 525589 679252 859054 865676 1026013 1043137 1051178 1718108 2052026 2086274 2102356 3679123 4104052 4172548 7182091 7301959 7358246 14364182 14603918 14716492 17442221 28728364 29207836 34884442 44118559 69768884 88237118 122095547 176474236 244191094 308829913 488382188 617659826 750015503 1235319652 1500031006 3000062012 5250108521 10500217042 21000434084