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20740032196 = 221322921912
BaseRepresentation
bin10011010100001100…
…111100011011000100
31222112102000210120121
4103110030330123010
5314433422012241
613310002511324
71332646236112
oct232414743304
958472023517
1020740032196
118883231184
124029965544
131c56ac2400
14100a6c0ab2
15815be9ad1
hex4d433c6c4

20740032196 has 81 divisors (see below), whose sum is σ = 40917936423. Its totient is φ = 9193853760.

The previous prime is 20740032193. The next prime is 20740032199. The reversal of 20740032196 is 69123004702.

The square root of 20740032196 is 144014.

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

It is an interprime number because it is at equal distance from previous prime (20740032193) and next prime (20740032199).

It can be written as a sum of positive squares in 4 ways, for example, as 2659464900 + 18080567296 = 51570^2 + 134464^2 .

It is a super-2 number, since 2×207400321962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20740032193) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108586461 + ... + 108586651.

Almost surely, 220740032196 is an apocalyptic number.

20740032196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20740032196 is the 144014-th square number.

It is an amenable number.

20740032196 is a deficient number, since it is larger than the sum of its proper divisors (20177904227).

20740032196 is a wasteful number, since it uses less digits than its factorization.

20740032196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 20740032196 its reverse (69123004702), we get a palindrome (89863036898).

The spelling of 20740032196 in words is "twenty billion, seven hundred forty million, thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 4 13 26 29 52 58 116 169 191 338 377 382 676 754 764 841 1508 1682 2483 3364 4901 4966 5539 9802 9932 10933 11078 19604 21866 22156 32279 36481 43732 64558 72007 72962 129116 142129 144014 145924 160631 284258 288028 321262 474253 568516 642524 936091 948506 1057949 1872182 1897012 2088203 2115898 3744364 4176406 4231796 6165289 8352812 12330578 13753337 24661156 27146639 27506674 30680521 54293278 55013348 61361042 108586556 122722084 178793381 357586762 398846773 715173524 797693546 1595387092 5185008049 10370016098 20740032196