Search a number
-
+
761623104541 = 13267179375773
BaseRepresentation
bin10110001010101000100…
…01100100110000011101
32200210212211020110100011
423011110101210300131
544434301003321131
61341515042203221
7106011505400305
oct13052421446035
92623784213304
10761623104541
11274003429172
12103736053511
1356a8925c400
1428c11584605
1514c290700b1
hexb154464c1d

761623104541 has 24 divisors (see below), whose sum is σ = 841703698080. Its totient is φ = 688672835136.

The previous prime is 761623104523. The next prime is 761623104559. The reversal of 761623104541 is 145401326167.

It is an interprime number because it is at equal distance from previous prime (761623104523) and next prime (761623104559).

It is a de Polignac number, because none of the positive numbers 2k-761623104541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 761623104494 and 761623104503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761623104941) 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 23 ways as a sum of consecutive naturals, for example, 1838931 + ... + 2214703.

It is an arithmetic number, because the mean of its divisors is an integer number (35070987420).

Almost surely, 2761623104541 is an apocalyptic number.

It is an amenable number.

761623104541 is a deficient number, since it is larger than the sum of its proper divisors (80080593539).

761623104541 is a wasteful number, since it uses less digits than its factorization.

761623104541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376045 (or 376032 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 761623104541 in words is "seven hundred sixty-one billion, six hundred twenty-three million, one hundred four thousand, five hundred forty-one".

Divisors: 1 13 67 169 179 871 2327 11323 11993 30251 155909 375773 2026817 4885049 25176791 63505637 67263367 327298283 874423771 4254877679 4506645589 11367509023 58586392657 761623104541