Search a number
-
+
955252323252559 = 23298319389403983
BaseRepresentation
bin1101100100110011000000001…
…1011001011111100101001111
311122021021020012211211110121201
43121030300003121133211033
52000201323224223040214
613223352505321410331
7405131463035501413
oct33114600331374517
94567236184743551
10955252323252559
112574112651102a2
128b17a3723399a7
1332002ba4bb16b7
1412bc665dc28d43
157568489b3d274
hex364cc0365f94f

955252323252559 has 32 divisors (see below), whose sum is σ = 1048987672750080. Its totient is φ = 867066996246528.

The previous prime is 955252323252533. The next prime is 955252323252673.

955252323252559 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-955252323252559 is a prime.

It is a super-2 number, since 2×9552523232525592 (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 955252323252559.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (955252323252529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34017319 + ... + 55386664.

It is an arithmetic number, because the mean of its divisors is an integer number (32780864773440).

Almost surely, 2955252323252559 is an apocalyptic number.

955252323252559 is a deficient number, since it is larger than the sum of its proper divisors (93735349497521).

955252323252559 is a wasteful number, since it uses less digits than its factorization.

955252323252559 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89404311.

The product of its digits is 364500000, while the sum is 64.

The spelling of 955252323252559 in words is "nine hundred fifty-five trillion, two hundred fifty-two billion, three hundred twenty-three million, two hundred fifty-two thousand, five hundred fifty-nine".

Divisors: 1 23 29 83 193 667 1909 2407 4439 5597 16019 55361 128731 368437 464551 10684673 89403983 2056291609 2592715507 7420530589 17254968719 59632456661 170672203547 215195387081 396864280537 500394092851 1432162403677 4949493902863 11509064135573 32939735284571 41532709706633 955252323252559