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30401819692160 = 27572969445781
BaseRepresentation
bin1101110100110011110011…
…01010011100110010000000
310222122101102002100001211212
412322121321222130302000
512441100411320122120
6144354223025425252
76255313301412200
oct672317152346200
9128571362301755
1030401819692160
119761380708074
1234b00aba9b228
1313c6b57a738c7
147716550b0400
1537ac4b31a6c5
hex1ba679a9cc80

30401819692160 has 96 divisors (see below), whose sum is σ = 84545366648220. Its totient is φ = 10423481026560.

The previous prime is 30401819692103. The next prime is 30401819692199. The reversal of 30401819692160 is 6129691810403.

It can be written as a sum of positive squares in 2 ways, for example, as 30083118796864 + 318700895296 = 5484808^2 + 564536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30401819692099 and 30401819692108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484691531 + ... + 484754250.

Almost surely, 230401819692160 is an apocalyptic number.

It is an amenable number.

30401819692160 is an abundant number, since it is smaller than the sum of its proper divisors (54143546956060).

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

30401819692160 is an equidigital number, since it uses as much as digits as its factorization.

30401819692160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969445814 (or 969445795 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The spelling of 30401819692160 in words is "thirty trillion, four hundred one billion, eight hundred nineteen million, six hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 969445781 1938891562 3877783124 4847228905 6786120467 7755566248 9694457810 13572240934 15511132496 19388915620 27144481868 31022264992 33930602335 38777831240 47502843269 54288963736 62044529984 67861204670 77555662480 95005686538 108577927472 124089059968 135722409340 155111324960 190011373076 217155854944 237514216345 271444818680 310222649920 380022746152 434311709888 475028432690 542889637360 620445299840 760045492304 868623419776 950056865380 1085779274720 1520090984608 1900113730760 2171558549440 3040181969216 3800227461520 4343117098880 6080363938432 7600454923040 15200909846080 30401819692160