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354630226485816 = 233315199108020699
BaseRepresentation
bin101000010100010001100100…
…0101011010010001000111000
31201111122022121020010011221000
41100220203020223102020320
5332440230200440021231
63254122513232245000
7134461121415026601
oct12050431053221070
91644568536104830
10354630226485816
11a2aa591a729966
12339358693a0760
13122b5643844688
1463802a1b86da8
152aeeb2cc5c6e6
hex14288c8ad2238

354630226485816 has 64 divisors (see below), whose sum is σ = 985148784000000. Its totient is φ = 118202296910688.

The previous prime is 354630226485803. The next prime is 354630226485823. The reversal of 354630226485816 is 618584622036453.

354630226485816 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 3 + 0 + 2 + 2 + 6 + 48 + 581 + 6 = 666.

It is a super-3 number, since 3×3546302264858163 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50727366 + ... + 57293333.

It is an arithmetic number, because the mean of its divisors is an integer number (15392949750000).

Almost surely, 2354630226485816 is an apocalyptic number.

354630226485816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

354630226485816 is an abundant number, since it is smaller than the sum of its proper divisors (630518557514184).

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

354630226485816 is a wasteful number, since it uses less digits than its factorization.

354630226485816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108035913 (or 108035903 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 354630226485816 in words is "three hundred fifty-four trillion, six hundred thirty billion, two hundred twenty-six million, four hundred eighty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 15199 30398 45597 60796 91194 121592 136791 182388 273582 364776 410373 547164 820746 1094328 1641492 3282984 108020699 216041398 324062097 432082796 648124194 864165592 972186291 1296248388 1944372582 2592496776 2916558873 3888745164 5833117746 7777490328 11666235492 23332470984 1641806604101 3283613208202 4925419812303 6567226416404 9850839624606 13134452832808 14776259436909 19701679249212 29552518873818 39403358498424 44328778310727 59105037747636 88657556621454 118210075495272 177315113242908 354630226485816