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763017973081 = 721322923312
BaseRepresentation
bin10110001101001110110…
…10100100110101011001
32200221111000221010020221
423012213122210311121
5100000130100114311
61342305311120041
7106061203521400
oct13064732446531
92627430833227
10763017973081
11274659832591
12103a65213021
1356c4c232300
1428d0491c637
1514cab74e671
hexb1a76a4d59

763017973081 has 81 divisors (see below), whose sum is σ = 998421972093. Its totient is φ = 581128067520.

The previous prime is 763017973051. The next prime is 763017973103. The reversal of 763017973081 is 180379710367.

The square root of 763017973081 is 873509.

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

It can be written as a sum of positive squares in 4 ways, for example, as 97840712025 + 665177261056 = 312795^2 + 815584^2 .

It is not a de Polignac number, because 763017973081 - 231 = 760870489433 is a prime.

It is a super-2 number, since 2×7630179730812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (763017973001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2305190086 + ... + 2305190416.

Almost surely, 2763017973081 is an apocalyptic number.

763017973081 is the 873509-th square number.

763017973081 is the 436755-th centered octagonal number.

It is an amenable number.

763017973081 is a deficient number, since it is larger than the sum of its proper divisors (235403999012).

763017973081 is an equidigital number, since it uses as much as digits as its factorization.

763017973081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 52.

The spelling of 763017973081 in words is "seven hundred sixty-three billion, seventeen million, nine hundred seventy-three thousand, eighty-one".

Divisors: 1 7 13 29 49 91 169 203 331 377 637 841 1183 1421 2317 2639 4303 4901 5887 8281 9599 10933 16219 18473 30121 34307 41209 55939 67193 76531 109561 124787 142129 210847 240149 278371 391573 470351 535717 766927 873509 994903 1424293 1622231 1948597 2741011 3177269 3618823 5368489 6114563 6964321 9970051 11355617 13640179 18515809 22240883 25331761 41304497 47044699 69790357 79489319 92140801 129610663 155686181 177322327 289131479 329312893 536958461 644985607 907274641 1197830413 2023920353 2305190251 3758709227 4514899249 8384812891 15571795369 26310964589 58693690237 109002567583 763017973081