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20121989904 = 2432118212
BaseRepresentation
bin10010101111010111…
…010011001100010000
31220221100001222221100
4102233113103030100
5312202212134104
613124404024400
71311433043412
oct225727231420
956840058840
1020121989904
11859637a925
123a96992100
131b88a4a503
14d8c59c9b2
157cb816139
hex4af5d3310

20121989904 has 45 divisors (see below), whose sum is σ = 56318388789. Its totient is φ = 6706762560.

The previous prime is 20121989813. The next prime is 20121989977. The reversal of 20121989904 is 40998912102.

The square root of 20121989904 is 141852.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2761292304 + 17360697600 = 52548^2 + 131760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20121989904.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1696314 + ... + 1708134.

Almost surely, 220121989904 is an apocalyptic number.

20121989904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20121989904 is the 141852-nd square number.

It is an amenable number.

20121989904 is an abundant number, since it is smaller than the sum of its proper divisors (36196398885).

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

20121989904 is an frugal number, since it uses more digits than its factorization.

20121989904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23656 (or 11826 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

It can be divided in two parts, 20121 and 989904, that added together give a square (1010025 = 10052).

The spelling of 20121989904 in words is "twenty billion, one hundred twenty-one million, nine hundred eighty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 11821 23642 35463 47284 70926 94568 106389 141852 189136 212778 283704 425556 567408 851112 1702224 139736041 279472082 419208123 558944164 838416246 1117888328 1257624369 1676832492 2235776656 2515248738 3353664984 5030497476 6707329968 10060994952 20121989904