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30106378877184 = 28321143112
BaseRepresentation
bin1101101100001101100000…
…00001001011100100000000
310221121010211022022122012100
412312012300001023210000
512421230330443032214
6144010402435430400
76225054064051251
oct666066001134400
9127533738278170
1030106378877184
119658053005a85
123462999455400
1313a503367181c
14761229682b28
1537320903b309
hex1b61b004b900

30106378877184 has 81 divisors (see below), whose sum is σ = 86804871736219. Its totient is φ = 10035371834880.

The previous prime is 30106378877161. The next prime is 30106378877207. The reversal of 30106378877184 is 48177887360103.

The square root of 30106378877184 is 5486928.

It is a perfect power (a square), and thus also a powerful number.

30106378877184 is a `hidden beast` number, since 3 + 0 + 1 + 0 + 6 + 378 + 87 + 7 + 184 = 666.

It is an interprime number because it is at equal distance from previous prime (30106378877161) and next prime (30106378877207).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 263315389 + ... + 263429699.

Almost surely, 230106378877184 is an apocalyptic number.

30106378877184 is the 5486928-th square number.

It is an amenable number.

30106378877184 is an abundant number, since it is smaller than the sum of its proper divisors (56698492859035).

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

30106378877184 is an frugal number, since it uses more digits than its factorization.

30106378877184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228644 (or 114316 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 30106378877184 in words is "thirty trillion, one hundred six billion, three hundred seventy-eight million, eight hundred seventy-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 114311 228622 342933 457244 685866 914488 1028799 1371732 1828976 2057598 2743464 3657952 4115196 5486928 7315904 8230392 10973856 14631808 16460784 21947712 29263616 32921568 43895424 65843136 87790848 131686272 263372544 13067004721 26134009442 39201014163 52268018884 78402028326 104536037768 117603042489 156804056652 209072075536 235206084978 313608113304 418144151072 470412169956 627216226608 836288302144 940824339912 1254432453216 1672576604288 1881648679824 2508864906432 3345153208576 3763297359648 5017729812864 7526594719296 10035459625728 15053189438592 30106378877184