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20999487744 = 283230192
BaseRepresentation
bin10011100011101010…
…101100000100000000
32000012111020111200100
4103203222230010000
5321001332101434
613351431522400
71342246462224
oct234352540400
960174214610
1020999487744
1189a6732a54
1240a0829400
131c987958c1
141032d3c784
1582d89a699
hex4e3aac100

20999487744 has 81 divisors (see below), whose sum is σ = 60566761983. Its totient is φ = 6997510656.

The previous prime is 20999487737. The next prime is 20999487767. The reversal of 20999487744 is 44778499902.

The square root of 20999487744 is 144912.

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

20999487744 is a `hidden beast` number, since 20 + 9 + 99 + 487 + 7 + 44 = 666.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 6954267 + ... + 6957285.

Almost surely, 220999487744 is an apocalyptic number.

20999487744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20999487744 is the 144912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20999487744

20999487744 is an abundant number, since it is smaller than the sum of its proper divisors (39567274239).

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

20999487744 is an frugal number, since it uses more digits than its factorization.

20999487744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 20999487744 in words is "twenty billion, nine hundred ninety-nine million, four hundred eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3019 6038 9057 12076 18114 24152 27171 36228 48304 54342 72456 96608 108684 144912 193216 217368 289824 386432 434736 579648 772864 869472 1159296 1738944 2318592 3477888 6955776 9114361 18228722 27343083 36457444 54686166 72914888 82029249 109372332 145829776 164058498 218744664 291659552 328116996 437489328 583319104 656233992 874978656 1166638208 1312467984 1749957312 2333276416 2624935968 3499914624 5249871936 6999829248 10499743872 20999487744