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10689176745 = 3451323103857
BaseRepresentation
bin10011111010001111…
…11110010010101001
31000120221120102220000
421331013332102221
5133342412123440
64524402053213
7525613334412
oct117507762251
930527512800
1010689176745
114595841775
1220a394a209
13101470a370
147358c0809
15428643730
hex27d1fe4a9

10689176745 has 160 divisors (see below), whose sum is σ = 21766897152. Its totient is φ = 4978879488.

The previous prime is 10689176633. The next prime is 10689176747. The reversal of 10689176745 is 54767198601.

It is not a de Polignac number, because 10689176745 - 212 = 10689172649 is a prime.

It is a super-2 number, since 2×106891767452 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10689176691 and 10689176700.

It is not an unprimeable number, because it can be changed into a prime (10689176747) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12472357 + ... + 12473213.

Almost surely, 210689176745 is an apocalyptic number.

10689176745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10689176745 is an abundant number, since it is smaller than the sum of its proper divisors (11077720407).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10689176745 is a wasteful number, since it uses less digits than its factorization.

10689176745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10689176745 in words is "ten billion, six hundred eighty-nine million, one hundred seventy-six thousand, seven hundred forty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 81 103 115 117 135 195 207 299 309 345 351 405 515 585 621 857 897 927 1035 1053 1339 1495 1545 1755 1863 2369 2571 2691 2781 3105 4017 4285 4485 4635 5265 6695 7107 7713 8073 8343 9315 11141 11845 12051 12855 13455 13905 19711 20085 21321 23139 24219 30797 33423 35535 36153 38565 40365 41715 55705 59133 60255 63963 69417 88271 92391 98555 100269 106605 108459 115695 121095 153985 167115 177399 180765 191889 256243 264813 277173 295665 300807 319815 347085 441355 461955 501345 532197 542295 768729 794439 831519 886995 902421 959445 1147523 1281215 1324065 1385865 1504035 1596591 2030233 2306187 2383317 2494557 2660985 3442569 3843645 3972195 4157595 4512105 5737615 6090699 6918561 7149951 7982955 10151165 10327707 11530935 11916585 12472785 17212845 18272097 20755683 26393029 30453495 30983121 34592805 35749755 51638535 54816291 79179087 91360485 92949363 103778415 131965145 154915605 164448873 237537261 274081455 395895435 464746815 712611783 822244365 1187686305 2137835349 3563058915 10689176745