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9972881775 = 3252296432377
BaseRepresentation
bin10010100100110111…
…00001100101101111
3221202000201212220200
421102123201211233
5130411024204100
64325333244543
7502065045033
oct112233414557
927660655820
109972881775
11425848275a
121b23a93753
13c2c1b409c
146a87041c3
153d5802e00
hex2526e196f

9972881775 has 72 divisors (see below), whose sum is σ = 18515012880. Its totient is φ = 5125317120.

The previous prime is 9972881761. The next prime is 9972881797. The reversal of 9972881775 is 5771882799.

It is not a de Polignac number, because 9972881775 - 24 = 9972881759 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4194387 + ... + 4196763.

Almost surely, 29972881775 is an apocalyptic number.

9972881775 is a deficient number, since it is larger than the sum of its proper divisors (8542131105).

9972881775 is a wasteful number, since it uses less digits than its factorization.

9972881775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3057 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 63.

The square root of 9972881775 is about 99864.3168253806. The cubic root of 9972881775 is about 2152.4854454778.

It can be divided in two parts, 99728 and 81775, that added together give a triangular number (181503 = T602).

The spelling of 9972881775 in words is "nine billion, nine hundred seventy-two million, eight hundred eighty-one thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 643 725 1305 1929 2175 2377 3215 5787 6525 7131 9645 11885 16075 18647 21393 28935 35655 48225 55941 59425 68933 93235 106965 144675 167823 178275 206799 279705 344665 466175 534825 620397 839115 1033995 1398525 1528411 1723325 3101985 4195575 4585233 5169975 7642055 13755699 15509925 22926165 38210275 44323919 68778495 114630825 132971757 221619595 343892475 398915271 664858785 1108097975 1994576355 3324293925 9972881775