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30233475104 = 25721710611069
BaseRepresentation
bin11100001010000011…
…100011100000100000
32220001000121200000012
4130022003203200200
5443404232200404
621520012144052
72120133204200
oct341203434040
986030550005
1030233475104
1111905010368
125a39168028
132b0a870051
14166b462400
15bbe396a6e
hex70a0e3820

30233475104 has 144 divisors (see below), whose sum is σ = 73450744920. Its totient is φ = 12172124160.

The previous prime is 30233475073. The next prime is 30233475133. The reversal of 30233475104 is 40157433203.

It can be written as a sum of positive squares in 4 ways, for example, as 29258786704 + 974688400 = 171052^2 + 31220^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28281482 + ... + 28282550.

Almost surely, 230233475104 is an apocalyptic number.

30233475104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30233475104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36725372460).

30233475104 is an abundant number, since it is smaller than the sum of its proper divisors (43217269816).

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

30233475104 is a wasteful number, since it uses less digits than its factorization.

30233475104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 30233475104 in words is "thirty billion, two hundred thirty-three million, four hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1061 1069 1568 1666 1904 2122 2138 3332 3808 4244 4276 6664 7427 7483 8488 8552 13328 14854 14966 16976 17104 18037 18173 26656 29708 29932 33952 34208 36074 36346 51989 52381 59416 59864 72148 72692 103978 104762 118832 119728 126259 127211 144296 145384 207956 209524 237664 239456 252518 254422 288592 290768 415912 419048 505036 508844 577184 581536 831824 838096 883813 890477 1010072 1017688 1134209 1663648 1676192 1767626 1780954 2020144 2035376 2268418 3535252 3561908 4040288 4070752 4536836 7070504 7123816 7939463 9073672 14141008 14247632 15878926 18147344 19281553 28282016 28495264 31757852 36294688 38563106 55576241 63515704 77126212 111152482 127031408 134970871 154252424 222304964 254062816 269941742 308504848 444609928 539883484 617009696 889219856 944796097 1079766968 1778439712 1889592194 2159533936 3779184388 4319067872 7558368776 15116737552 30233475104