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531668087104 = 26711193559001
BaseRepresentation
bin1111011110010011110…
…00110011000101000000
31212211022212022012221111
413233021320303011000
532202324012241404
61044124524133104
753261142114040
oct7571170630500
91784285265844
10531668087104
1119552a858010
128705a697194
133b19cc9785b
141ba39007720
15dc6ae0a104
hex7bc9e33140

531668087104 has 112 divisors (see below), whose sum is σ = 1322178362496. Its totient is φ = 206069760000.

The previous prime is 531668087063. The next prime is 531668087123. The reversal of 531668087104 is 401780866135.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×5316680871042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671604 + ... + 1230604.

Almost surely, 2531668087104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531668087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661089181248).

531668087104 is an abundant number, since it is smaller than the sum of its proper divisors (790510275392).

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

531668087104 is a wasteful number, since it uses less digits than its factorization.

531668087104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559224 (or 559214 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 531668087104 in words is "five hundred thirty-one billion, six hundred sixty-eight million, eighty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 193 224 308 352 386 448 616 704 772 1232 1351 1544 2123 2464 2702 3088 4246 4928 5404 6176 8492 10808 12352 14861 16984 21616 29722 33968 43232 59444 67936 86464 118888 135872 237776 475552 559001 951104 1118002 2236004 3913007 4472008 6149011 7826014 8944016 12298022 15652028 17888032 24596044 31304056 35776064 43043077 49192088 62608112 86086154 98384176 107887193 125216224 172172308 196768352 215774386 250432448 344344616 393536704 431548772 688689232 755210351 863097544 1186759123 1377378464 1510420702 1726195088 2373518246 2754756928 3020841404 3452390176 4747036492 6041682808 6904780352 8307313861 9494072984 12083365616 16614627722 18988145968 24166731232 33229255444 37976291936 48333462464 66458510888 75952583872 132917021776 265834043552 531668087104