Search a number
-
+
20815976736 = 2532100971633
BaseRepresentation
bin10011011000101110…
…101001100100100000
31222201200221011220100
4103120232221210200
5320112342223421
613321314342400
71334560611552
oct233056514440
958650834810
1020815976736
118912092465
12404b28aa00
131c697628c9
14101680d4d2
1581c6ebc26
hex4d8ba9920

20815976736 has 72 divisors (see below), whose sum is σ = 59254928460. Its totient is φ = 6931685376.

The previous prime is 20815976717. The next prime is 20815976761. The reversal of 20815976736 is 63767951802.

It can be written as a sum of positive squares in 2 ways, for example, as 19087080336 + 1728896400 = 138156^2 + 41580^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254776 + ... + 326408.

Almost surely, 220815976736 is an apocalyptic number.

It is an amenable number.

20815976736 is an abundant number, since it is smaller than the sum of its proper divisors (38438951724).

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

20815976736 is a wasteful number, since it uses less digits than its factorization.

20815976736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72658 (or 72647 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 20815976736 in words is "twenty billion, eight hundred fifteen million, nine hundred seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1009 2018 3027 4036 6054 8072 9081 12108 16144 18162 24216 32288 36324 48432 71633 72648 96864 143266 145296 214899 286532 290592 429798 573064 644697 859596 1146128 1289394 1719192 2292256 2578788 3438384 5157576 6876768 10315152 20630304 72277697 144555394 216833091 289110788 433666182 578221576 650499273 867332364 1156443152 1300998546 1734664728 2312886304 2601997092 3469329456 5203994184 6938658912 10407988368 20815976736