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675218983102056 = 233241228732717853
BaseRepresentation
bin1001100110000110111010101…
…1101000100010011001101000
310021112202022012212222020221100
42121201232223220202121220
51202000241434133231211
610352023152452241400
7262136650566316251
oct23141565350423150
93245668185866840
10675218983102056
11186166843047318
1263891b67310260
1322c9bb526c9003
14bca4ab7777b28
15530dede1a7156
hex2661baba22668

675218983102056 has 48 divisors (see below), whose sum is σ = 1873320959224260. Its totient is φ = 219583409137920.

The previous prime is 675218983102049. The next prime is 675218983102117. The reversal of 675218983102056 is 650201389812576.

675218983102056 is a `hidden beast` number, since 6 + 7 + 5 + 21 + 8 + 98 + 310 + 205 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 477243783728100 + 197975199373956 = 21845910^2 + 14070366^2 .

It is a super-2 number, since 2×6752189831020562 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 675218983101984 and 675218983102002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114366355975 + ... + 114366361878.

Almost surely, 2675218983102056 is an apocalyptic number.

It is an amenable number.

675218983102056 is an abundant number, since it is smaller than the sum of its proper divisors (1198101976122204).

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

675218983102056 is a wasteful number, since it uses less digits than its factorization.

675218983102056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228732717906 (or 228732717899 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 675218983102056 in words is "six hundred seventy-five trillion, two hundred eighteen billion, nine hundred eighty-three million, one hundred two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 228732717853 457465435706 686198153559 914930871412 1372396307118 1829861742824 2058594460677 2744792614236 4117188921354 5489585228472 8234377842708 9378041431973 16468755685416 18756082863946 28134124295919 37512165727892 56268248591838 75024331455784 84402372887757 112536497183676 168804745775514 225072994367352 337609491551028 675218983102056