Search a number
-
+
332969927961 = 31146126638219
BaseRepresentation
bin1001101100001101000…
…11011110010100011001
31011211110020122220101010
410312012203132110121
520423410300143321
6412544141044133
733025206455316
oct4660643362431
91154406586333
10332969927961
11119236931150
1254646b56649
13255255a9518
1412189ba5d0d
1589dbddb676
hex4d868de519

332969927961 has 32 divisors (see below), whose sum is σ = 485611822080. Its totient is φ = 201262107200.

The previous prime is 332969927923. The next prime is 332969927977. The reversal of 332969927961 is 169729969233.

It is not a de Polignac number, because 332969927961 - 27 = 332969927833 is a prime.

It is a super-2 number, since 2×3329699279612 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 332969927892 and 332969927901.

It is not an unprimeable number, because it can be changed into a prime (332969927161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40508110 + ... + 40516328.

It is an arithmetic number, because the mean of its divisors is an integer number (15175369440).

Almost surely, 2332969927961 is an apocalyptic number.

It is an amenable number.

332969927961 is a deficient number, since it is larger than the sum of its proper divisors (152641894119).

332969927961 is a wasteful number, since it uses less digits than its factorization.

332969927961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11357.

The product of its digits is 59521392, while the sum is 66.

The spelling of 332969927961 in words is "three hundred thirty-two billion, nine hundred sixty-nine million, nine hundred twenty-seven thousand, nine hundred sixty-one".

Divisors: 1 3 11 33 461 1383 2663 5071 7989 8219 15213 24657 29293 87879 90409 271227 1227643 3682929 3788959 11366877 13504073 21887197 40512219 41678549 65661591 125035647 240759167 722277501 10089997817 30269993451 110989975987 332969927961