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67380944908376 = 23112393203734543
BaseRepresentation
bin11110101001000010110010…
…10010010011000001011000
322211120112222220101220201002
433110201121102103001120
532312432133344032001
6355150213451244132
720123053425461651
oct1724413122230130
9284515886356632
1067380944908376
111a519109868440
127682a66149648
132b79cc3b288b8
14128d380136528
157bcaedd7c46b
hex3d4859493058

67380944908376 has 32 divisors (see below), whose sum is σ = 138401332300800. Its totient is φ = 30499552839840.

The previous prime is 67380944908369. The next prime is 67380944908393.

67380944908376 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×673809449083764 (a number of 56 digits) contains 4444 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 7 ways as a sum of consecutive naturals, for example, 1601846240 + ... + 1601888303.

It is an arithmetic number, because the mean of its divisors is an integer number (4325041634400).

Almost surely, 267380944908376 is an apocalyptic number.

It is an amenable number.

67380944908376 is an abundant number, since it is smaller than the sum of its proper divisors (71020387392424).

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

67380944908376 is a wasteful number, since it uses less digits than its factorization.

67380944908376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203734799 (or 3203734795 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 74.

The spelling of 67380944908376 in words is "sixty-seven trillion, three hundred eighty billion, nine hundred forty-four million, nine hundred eight thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 44 88 239 478 956 1912 2629 5258 10516 21032 3203734543 6407469086 12814938172 25629876344 35241079973 70482159946 140964319892 281928639784 765692555777 1531385111554 3062770223108 6125540446216 8422618113547 16845236227094 33690472454188 67380944908376