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168207494112 = 25327531574269
BaseRepresentation
bin1001110010100111110…
…0101010101111100000
3121002011200002001022100
42130221330222233200
510223442104302422
6205135022210400
715103224052320
oct2345174525740
9532150061270
10168207494112
1165377821a49
1228724423a00
1312b2878c108
1481d9991280
1545972c27ac
hex2729f2abe0

168207494112 has 144 divisors (see below), whose sum is σ = 556989320160. Its totient is φ = 47152475136.

The previous prime is 168207494089. The next prime is 168207494113. The reversal of 168207494112 is 211494702861.

168207494112 is a `hidden beast` number, since 168 + 2 + 0 + 74 + 9 + 411 + 2 = 666.

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

It is a super-2 number, since 2×1682074941122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168207494113) 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, 680287 + ... + 893982.

It is an arithmetic number, because the mean of its divisors is an integer number (3867981390).

Almost surely, 2168207494112 is an apocalyptic number.

168207494112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168207494112 is an abundant number, since it is smaller than the sum of its proper divisors (388781826048).

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

168207494112 is a wasteful number, since it uses less digits than its factorization.

168207494112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574345 (or 1574334 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 168207494112 in words is "one hundred sixty-eight billion, two hundred seven million, four hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2968 3339 3816 4452 5088 5936 6678 7632 8904 11872 13356 15264 17808 26712 35616 53424 106848 1574269 3148538 4722807 6297076 9445614 11019883 12594152 14168421 18891228 22039766 25188304 28336842 33059649 37782456 44079532 50376608 56673684 66119298 75564912 83436257 88159064 99178947 113347368 132238596 151129824 166872514 176318128 198357894 226694736 250308771 264477192 333745028 352636256 396715788 453389472 500617542 528954384 584053799 667490056 750926313 793431576 1001235084 1057908768 1168107598 1334980112 1501852626 1586863152 1752161397 2002470168 2336215196 2669960224 3003705252 3173726304 3504322794 4004940336 4672430392 5256484191 6007410504 7008645588 8009880672 9344860784 10512968382 12014821008 14017291176 18689721568 21025936764 24029642016 28034582352 42051873528 56069164704 84103747056 168207494112