Search a number
-
+
165680540949 = 37112193123571
BaseRepresentation
bin1001101001001101010…
…1000110110100010101
3120211122120011112020110
42122103111012310111
510203303204302244
6204040152553233
714653501235040
oct2322325066425
9524576145213
10165680540949
11642a0389700
122813a0b2819
13128150b3761
14803a125c57
15449a5209b9
hex2693546d15

165680540949 has 144 divisors (see below), whose sum is σ = 301920299520. Its totient is φ = 78885576000.

The previous prime is 165680540947. The next prime is 165680540951. The reversal of 165680540949 is 949045086561.

It is an interprime number because it is at equal distance from previous prime (165680540947) and next prime (165680540951).

It is not a de Polignac number, because 165680540949 - 21 = 165680540947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165680540947) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46394334 + ... + 46397904.

Almost surely, 2165680540949 is an apocalyptic number.

165680540949 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

165680540949 is a deficient number, since it is larger than the sum of its proper divisors (136239758571).

165680540949 is a wasteful number, since it uses less digits than its factorization.

165680540949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 165680540949 in words is "one hundred sixty-five billion, six hundred eighty million, five hundred forty thousand, nine hundred forty-nine".

Divisors: 1 3 7 11 19 21 31 33 57 77 93 121 133 209 217 231 341 363 399 589 627 651 847 961 1023 1463 1767 2299 2387 2541 2883 3571 3751 4123 4389 6479 6727 6897 7161 10571 10713 11253 12369 16093 18259 19437 20181 24997 26257 31713 39281 45353 48279 54777 67849 71269 73997 74991 78771 110701 116281 117843 127813 136059 200849 203547 213807 221991 274967 332103 348843 383439 432091 474943 498883 602547 746339 774907 813967 824901 1217711 1296273 1405943 1424829 1496649 2103319 2209339 2239017 2324721 2441901 3024637 3431731 3653133 4217829 5224373 6309957 6628017 8209729 8523977 9073911 10295193 13394821 14723233 15465373 15673119 23136509 24022117 24629187 25571931 37749041 40184463 44169699 46396119 57468103 65202889 69409527 72066351 93763747 113247123 161955563 172404309 195608667 254501599 264243287 281291241 415239451 456420223 485866689 717231779 763504797 792729861 1245718353 1369260669 1781511193 2151695337 2906676157 5020622453 5344533579 7889549569 8720028471 15061867359 23668648707 55226846983 165680540949