Search a number
-
+
23335362987561 = 34172315732
BaseRepresentation
bin1010100111001001100000…
…00001011000011000101001
310001121211122120100201010000
411103210300001120120221
511024311310411100221
6121344041234213213
74625632022443422
oct523446001303051
9101554576321100
1023335362987561
117487521066a69
12274a671a24209
131003691118a41
145a961aa90649
152a701661ae26
hex153930058629

23335362987561 has 45 divisors (see below), whose sum is σ = 37031320638741. Its totient is φ = 14641332640128.

The previous prime is 23335362987509. The next prime is 23335362987571. The reversal of 23335362987561 is 16578926353332.

The square root of 23335362987561 is 4830669.

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

23335362987561 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 5 + 3 + 62 + 9 + 8 + 7 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1255701777561 + 22079661210000 = 1120581^2 + 4698900^2 .

It is not a de Polignac number, because 23335362987561 - 29 = 23335362987049 is a prime.

It is a super-2 number, since 2×233353629875612 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23335362987571) 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 44 ways as a sum of consecutive naturals, for example, 739076571 + ... + 739108143.

Almost surely, 223335362987561 is an apocalyptic number.

23335362987561 is the 4830669-th square number.

23335362987561 is the 2415335-th centered octagonal number.

It is an amenable number.

23335362987561 is a deficient number, since it is larger than the sum of its proper divisors (13695957651180).

23335362987561 is an frugal number, since it uses more digits than its factorization.

23335362987561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63192 (or 31593 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 23335362987561 in words is "twenty-three trillion, three hundred thirty-five billion, three hundred sixty-two million, nine hundred eighty-seven thousand, five hundred sixty-one".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 7803 23409 31573 94719 284157 536741 852471 1610223 2557413 4830669 9124597 14492007 27373791 43476021 82121373 246364119 739092357 996854329 2990562987 8971688961 16946523593 26915066883 50839570779 80745200649 152518712337 288090901081 457556137011 864272703243 1372668411033 2592818109729 7778454329187 23335362987561