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146309049549 = 3313261975419
BaseRepresentation
bin1000100001000010110…
…0101110110011001101
3111222122112021210201000
42020100230232303031
54344120104041144
6151114034410513
713366450254525
oct2102054566315
9458575253630
10146309049549
115705a70a483
1224432730a39
1310a489a6900
14711d4c8685
153c14a54769
hex2210b2eccd

146309049549 has 96 divisors (see below), whose sum is σ = 241061654400. Its totient is φ = 87631165440.

The previous prime is 146309049533. The next prime is 146309049559. The reversal of 146309049549 is 945940903641.

It is a happy number.

146309049549 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 0 + 90 + 4 + 9 + 549 = 666.

It is not a de Polignac number, because 146309049549 - 24 = 146309049533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146309049495 and 146309049504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146309049559) 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 95 ways as a sum of consecutive naturals, for example, 26996562 + ... + 27001980.

It is an arithmetic number, because the mean of its divisors is an integer number (2511058900).

Almost surely, 2146309049549 is an apocalyptic number.

It is an amenable number.

146309049549 is a deficient number, since it is larger than the sum of its proper divisors (94752604851).

146309049549 is a wasteful number, since it uses less digits than its factorization.

146309049549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 146309049549 in words is "one hundred forty-six billion, three hundred nine million, forty-nine thousand, five hundred forty-nine".

Divisors: 1 3 9 13 27 39 61 97 117 169 183 291 351 507 549 793 873 1261 1521 1647 2379 2619 3783 4563 5419 5917 7137 10309 11349 16257 16393 17751 21411 30927 34047 48771 49179 53253 70447 76921 92781 146313 147537 159759 211341 230763 278343 330559 442611 525643 634023 692289 915811 991677 999973 1576929 1902069 2076867 2747433 2975031 2999919 4297267 4730787 6833359 8242299 8925093 8999757 12891801 14192361 20500077 24726897 26999271 32064223 38675403 55864471 61500231 88833667 96192669 116026209 167593413 184500693 266501001 288578007 416834899 502780239 799503003 865734021 1250504697 1508340717 2398509009 3751514091 5418853687 11254542273 16256561061 48769683183 146309049549