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21122552896 = 263724912
BaseRepresentation
bin10011101011000000…
…001001010001000000
32000112001210212022221
4103223000021101000
5321224333143041
613411545340424
71345302510604
oct235300112100
960461725287
1021122552896
118a5a148695
124115a97714
131cb8123a13
141045415504
158395a92d1
hex4eb009440

21122552896 has 63 divisors (see below), whose sum is σ = 43166437797. Its totient is φ = 10254908160.

The previous prime is 21122552881. The next prime is 21122552917. The reversal of 21122552896 is 69825522112.

The square root of 21122552896 is 145336.

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., 18900750400 + 2221802496 = 137480^2 + 47136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43019211 + ... + 43019701.

Almost surely, 221122552896 is an apocalyptic number.

21122552896 is the 145336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122552896

21122552896 is an abundant number, since it is smaller than the sum of its proper divisors (22043884901).

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

21122552896 is an frugal number, since it uses more digits than its factorization.

21122552896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 530 counting only the distinct ones).

The product of its digits is 172800, while the sum is 43.

The spelling of 21122552896 in words is "twenty-one billion, one hundred twenty-two million, five hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 491 592 982 1184 1369 1964 2368 2738 3928 5476 7856 10952 15712 18167 21904 31424 36334 43808 72668 87616 145336 241081 290672 482162 581344 672179 964324 1162688 1344358 1928648 2688716 3857296 5377432 7714592 8919997 10754864 15429184 17839994 21509728 35679988 43019456 71359976 142719952 285439904 330039889 570879808 660079778 1320159556 2640319112 5280638224 10561276448 21122552896