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30119091672 = 23329419711087
BaseRepresentation
bin11100000011001111…
…001101110111011000
32212202001101101102210
4130003033031313120
5443140441413142
621500404355120
72114244024615
oct340317156730
985661341383
1030119091672
11118564953aa
125a069a5aa0
132abcc61747
14165a1a950c
15bb430049c
hex7033cddd8

30119091672 has 128 divisors (see below), whose sum is σ = 79949721600. Its totient is φ = 9438643200.

The previous prime is 30119091659. The next prime is 30119091677. The reversal of 30119091672 is 27619091103.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30119091672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30119091677) 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 31 ways as a sum of consecutive naturals, for example, 27707913 + ... + 27708999.

It is an arithmetic number, because the mean of its divisors is an integer number (624607200).

Almost surely, 230119091672 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 30119091672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39974860800).

30119091672 is an abundant number, since it is smaller than the sum of its proper divisors (49830629928).

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

30119091672 is a wasteful number, since it uses less digits than its factorization.

30119091672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The spelling of 30119091672 in words is "thirty billion, one hundred nineteen million, ninety-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 116 123 164 174 232 246 328 348 492 696 971 984 1087 1189 1942 2174 2378 2913 3261 3567 3884 4348 4756 5826 6522 7134 7768 8696 9512 11652 13044 14268 23304 26088 28159 28536 31523 39811 44567 56318 63046 79622 84477 89134 94569 112636 119433 126092 133701 159244 168954 178268 189138 225272 238866 252184 267402 318488 337908 356536 378276 477732 534804 675816 756552 955464 1055477 1069608 1154519 1292443 2110954 2309038 2584886 3166431 3463557 3877329 4221908 4618076 5169772 6332862 6927114 7754658 8443816 9236152 10339544 12665724 13854228 15509316 25331448 27708456 30608833 31018632 43274557 61217666 86549114 91826499 122435332 129823671 173098228 183652998 244870664 259647342 346196456 367305996 519294684 734611992 1038589368 1254962153 2509924306 3764886459 5019848612 7529772918 10039697224 15059545836 30119091672