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20769997924 = 221322322412
BaseRepresentation
bin10011010101111111…
…010000010001100100
31222121111102012211101
4103111333100101210
5320014104413144
613312553045444
71333462032544
oct232577202144
958544365741
1020769997924
118899138945
1240379b6884
131c60084900
141010681324
158186686d4
hex4d5fd0464

20769997924 has 81 divisors (see below), whose sum is σ = 41315604939. Its totient is φ = 9131316480.

The previous prime is 20769997921. The next prime is 20769997943. The reversal of 20769997924 is 42979996702.

The square root of 20769997924 is 144118.

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 330148900 + 20439849024 = 18170^2 + 142968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20769997921) 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 26 ways as a sum of consecutive naturals, for example, 86182444 + ... + 86182684.

Almost surely, 220769997924 is an apocalyptic number.

20769997924 is the 144118-th square number.

It is an amenable number.

20769997924 is a deficient number, since it is larger than the sum of its proper divisors (20545607015).

20769997924 is a wasteful number, since it uses less digits than its factorization.

20769997924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 64.

Multiplying 20769997924 by its sum of digits (64), we get a square (1329279867136 = 11529442).

It can be divided in two parts, 2076 and 9997924, that added together give a 7-th power (10000000 = 107).

The spelling of 20769997924 in words is "twenty billion, seven hundred sixty-nine million, nine hundred ninety-seven thousand, nine hundred twenty-four".

Divisors: 1 2 4 13 23 26 46 52 92 169 241 299 338 482 529 598 676 964 1058 1196 2116 3133 3887 5543 6266 6877 7774 11086 12532 13754 15548 22172 27508 40729 58081 72059 81458 89401 116162 127489 144118 162916 178802 232324 254978 288236 357604 509956 755053 936767 1335863 1510106 1657357 1873534 2671726 3020212 3314714 3747068 5343452 6629428 9815689 17366219 19631378 21545641 30724849 34732438 39262756 43091282 61449698 69464876 86182564 122899396 225760847 399423037 451521694 798846074 903043388 1597692148 5192499481 10384998962 20769997924