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6764506749 = 3471113194391
BaseRepresentation
bin1100100110011001…
…00010111001111101
3122110102121112210000
412103030202321331
5102323203203444
63035122504513
7326426234010
oct62314427175
918412545700
106764506749
11296142a050
121389505139
1383a5a2520
14482579377
15298ced469
hex193322e7d

6764506749 has 160 divisors (see below), whose sum is σ = 14284892160. Its totient is φ = 3072297600.

The previous prime is 6764506739. The next prime is 6764506757. The reversal of 6764506749 is 9476054676.

6764506749 is a `hidden beast` number, since 6 + 7 + 64 + 506 + 74 + 9 = 666.

It is not a de Polignac number, because 6764506749 - 25 = 6764506717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6764506695 and 6764506704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6764506739) 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, 1538344 + ... + 1542734.

It is an arithmetic number, because the mean of its divisors is an integer number (89280576).

Almost surely, 26764506749 is an apocalyptic number.

It is an amenable number.

6764506749 is an abundant number, since it is smaller than the sum of its proper divisors (7520385411).

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

6764506749 is a wasteful number, since it uses less digits than its factorization.

6764506749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 6764506749 is about 82246.6215050807. The cubic root of 6764506749 is about 1891.2344845059.

The spelling of 6764506749 in words is "six billion, seven hundred sixty-four million, five hundred six thousand, seven hundred forty-nine".

Divisors: 1 3 7 9 11 13 19 21 27 33 39 57 63 77 81 91 99 117 133 143 171 189 209 231 247 273 297 351 399 429 513 567 627 693 741 819 891 1001 1053 1197 1287 1463 1539 1729 1881 2079 2223 2457 2717 3003 3591 3861 4389 4391 5187 5643 6237 6669 7371 8151 9009 10773 11583 13167 13173 15561 16929 19019 20007 24453 27027 30737 39501 39519 46683 48301 57057 57083 73359 81081 83429 92211 118503 118557 140049 144903 171171 171249 220077 250287 276633 338107 355671 399581 434709 513513 513747 584003 627913 750861 829899 917719 1014321 1084577 1198743 1304127 1540539 1541241 1752009 1883739 2252583 2489697 2753157 3042963 3253731 3596229 3912381 4395391 4623723 5256027 5651217 6424033 6757749 7592039 8259471 9128889 9761193 10788687 11930347 13186173 15768081 16953651 19272099 22776117 24778413 27386667 29283579 32366061 35791041 39558519 47304243 50860953 57816297 68328351 74335239 83512429 87850737 107373123 118675557 173448891 204985053 250537287 322119369 356026671 520346673 614955159 751611861 966358107 2254835583 6764506749