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30149911176 = 23371181120117
BaseRepresentation
bin11100000101000100…
…110010001010001000
32212211012101011211220
4130011010302022020
5443221334124201
621503425122040
72115100005450
oct340504621210
985735334756
1030149911176
1111871925570
125a15189320
132ac6462738
14166030cd60
15bb6d8c036
hex705132288

30149911176 has 128 divisors (see below), whose sum is σ = 94094300160. Its totient is φ = 7821100800.

The previous prime is 30149911171. The next prime is 30149911177. The reversal of 30149911176 is 67111994103.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (30149911171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1488670 + ... + 1508786.

It is an arithmetic number, because the mean of its divisors is an integer number (735111720).

Almost surely, 230149911176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30149911176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47047150080).

30149911176 is an abundant number, since it is smaller than the sum of its proper divisors (63944388984).

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

30149911176 is a wasteful number, since it uses less digits than its factorization.

30149911176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20955 (or 20951 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 30149911176 in words is "thirty billion, one hundred forty-nine million, nine hundred eleven thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 811 924 1622 1848 2433 3244 4866 5677 6488 8921 9732 11354 17031 17842 19464 20117 22708 26763 34062 35684 40234 45416 53526 60351 62447 68124 71368 80468 107052 120702 124894 136248 140819 160936 187341 214104 221287 241404 249788 281638 374682 422457 442574 482808 499576 563276 663861 749364 844914 885148 1126552 1327722 1498728 1549009 1689828 1770296 2655444 3098018 3379656 4647027 5310888 6196036 9294054 12392072 16314887 18588108 32629774 37176216 48944661 65259548 97889322 114204209 130519096 179463757 195778644 228408418 342612627 358927514 391557288 456816836 538391271 685225254 717855028 913633672 1076782542 1256246299 1370450508 1435710056 2153565084 2512492598 2740901016 3768738897 4307130168 5024985196 7537477794 10049970392 15074955588 30149911176