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30850616349 = 3276179307331
BaseRepresentation
bin11100101110110101…
…110000110000011101
32221122000212200122100
4130232311300300131
51001140224210344
622101135435313
72141335624620
oct345665606035
987560780570
1030850616349
11120a1406753
125b8b985b39
132ba868aa97
1416c93cbdb7
15c0864d569
hex72ed70c1d

30850616349 has 96 divisors (see below), whose sum is σ = 52747735040. Its totient is φ = 17013110400.

The previous prime is 30850616323. The next prime is 30850616351. The reversal of 30850616349 is 94361605803.

30850616349 is a `hidden beast` number, since 3 + 0 + 8 + 5 + 0 + 6 + 1 + 634 + 9 = 666.

It is not a de Polignac number, because 30850616349 - 217 = 30850485277 is a prime.

It is a super-2 number, since 2×308506163492 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30850615349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93204114 + ... + 93204444.

Almost surely, 230850616349 is an apocalyptic number.

It is an amenable number.

30850616349 is a deficient number, since it is larger than the sum of its proper divisors (21897118691).

30850616349 is a wasteful number, since it uses less digits than its factorization.

30850616349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 30850616349 in words is "thirty billion, eight hundred fifty million, six hundred sixteen thousand, three hundred forty-nine".

Divisors: 1 3 7 9 21 61 63 79 183 237 307 331 427 549 553 711 921 993 1281 1659 2149 2317 2763 2979 3843 4819 4977 6447 6951 14457 18727 19341 20191 20853 24253 26149 33733 43371 56181 60573 72759 78447 101199 101617 131089 141337 168543 169771 181719 183043 218277 235341 303597 304851 393267 424011 509313 549129 711319 914553 1179801 1272033 1479433 1527939 1595089 1647387 2133957 4438299 4785267 6198637 6401871 8027743 10356031 11165623 13314897 14355801 18595911 24083229 31068093 33496869 43390459 55787733 56194201 72249687 93204279 100490607 130171377 168582603 390514131 489692323 505747809 1469076969 3427846261 4407230907 10283538783 30850616349