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20991373456 = 2429212492
BaseRepresentation
bin10011100011001011…
…101111000010010000
32000011220222020222011
4103203023233002100
5320442242422311
613350541552304
71342120505344
oct234313570220
960156866864
1020991373456
1189a20a0629
124099b75694
131c96bb4451
141031c29624
1582cce6321
hex4e32ef090

20991373456 has 45 divisors (see below), whose sum is σ = 42155338251. Its totient is φ = 10125652992.

The previous prime is 20991373411. The next prime is 20991373457. The reversal of 20991373456 is 65437319902.

The square root of 20991373456 is 144884.

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

It can be written as a sum of positive squares in 4 ways, for example, as 93779856 + 20897593600 = 9684^2 + 144560^2 .

It is a super-2 number, since 2×209913734562 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20991373457) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16805920 + ... + 16807168.

Almost surely, 220991373456 is an apocalyptic number.

20991373456 is the 144884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20991373456

20991373456 is an abundant number, since it is smaller than the sum of its proper divisors (21163964795).

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

20991373456 is an frugal number, since it uses more digits than its factorization.

20991373456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

Multiplying 20991373456 by its sum of digits (49), we get a square (1028577299344 = 10141882).

The spelling of 20991373456 in words is "twenty billion, nine hundred ninety-one million, three hundred seventy-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1249 1682 2498 3364 4996 6728 9992 13456 19984 36221 72442 144884 289768 579536 1050409 1560001 2100818 3120002 4201636 6240004 8403272 12480008 16806544 24960016 45240029 90480058 180960116 361920232 723840464 1311960841 2623921682 5247843364 10495686728 20991373456