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674228017883808 = 253217797172785409
BaseRepresentation
bin1001100101001101001111000…
…1100000001110101010100000
310021102020120100211002022001200
42121103103301200032222200
51201333022440034240213
610345544024144401200
7262005236546043633
oct23123236140165240
93242216324068050
10674228017883808
11185914551009703
1263751aa7016200
1322c2957716b09b
14bc6cb4b1dbc1a
1552e3340bdd273
hex26534f180eaa0

674228017883808 has 144 divisors (see below), whose sum is σ = 2032667606347560. Its totient is φ = 211257115803648.

The previous prime is 674228017883773. The next prime is 674228017883809. The reversal of 674228017883808 is 808388710822476.

674228017883808 is a `hidden beast` number, since 6 + 7 + 4 + 228 + 0 + 17 + 8 + 8 + 380 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 441040824944784 + 233187192939024 = 21000972^2 + 15270468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (674228017883809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82490593 + ... + 90294816.

Almost surely, 2674228017883808 is an apocalyptic number.

674228017883808 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

674228017883808 is an abundant number, since it is smaller than the sum of its proper divisors (1358439588463752).

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

674228017883808 is a wasteful number, since it uses less digits than its factorization.

674228017883808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172786239 (or 172786228 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 674228017883808 in words is "six hundred seventy-four trillion, two hundred twenty-eight billion, seventeen million, eight hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 797 816 1224 1594 1632 2391 2448 3188 4782 4896 6376 7173 9564 12752 13549 14346 19128 25504 27098 28692 38256 40647 54196 57384 76512 81294 108392 114768 121941 162588 216784 229536 243882 325176 433568 487764 650352 975528 1300704 1951056 3902112 172785409 345570818 518356227 691141636 1036712454 1382283272 1555068681 2073424908 2764566544 2937351953 3110137362 4146849816 5529133088 5874703906 6220274724 8293699632 8812055859 11749407812 12440549448 16587399264 17624111718 23498815624 24881098896 26436167577 35248223436 46997631248 49762197792 52872335154 70496446872 93995262496 105744670308 137709970973 140992893744 211489340616 275419941946 281985787488 413129912919 422978681232 550839883892 826259825838 845957362464 1101679767784 1239389738757 1652519651676 2203359535568 2341069506541 2478779477514 3305039303352 4406719071136 4682139013082 4957558955028 6610078606704 7023208519623 9364278026164 9915117910056 13220157213408 14046417039246 18728556052328 19830235820112 21069625558869 28092834078492 37457112104656 39660471640224 42139251117738 56185668156984 74914224209312 84278502235476 112371336313968 168557004470952 224742672627936 337114008941904 674228017883808