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51668311440 = 24351012131531
BaseRepresentation
bin110000000111101010…
…111101110110010000
311221100212001011200110
4300013222331312100
51321304041431230
635422555121320
73506250254334
oct600752756620
9157325034613
1051668311440
111aa04462139
12a01b743240
134b455a2865
1427021277c4
1515260894b0
hexc07abdd90

51668311440 has 80 divisors (see below), whose sum is σ = 161757700416. Its totient is φ = 13641792000.

The previous prime is 51668311411. The next prime is 51668311441. The reversal of 51668311440 is 4411386615.

51668311440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×516683114402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51668311441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041526 + ... + 1090005.

Almost surely, 251668311440 is an apocalyptic number.

It is an amenable number.

51668311440 is an abundant number, since it is smaller than the sum of its proper divisors (110089388976).

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

51668311440 is a wasteful number, since it uses less digits than its factorization.

51668311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131648 (or 2131642 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 51668311440 in words is "fifty-one billion, six hundred sixty-eight million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 2131531 4263062 6394593 8526124 10657655 12789186 17052248 21315310 25578372 31972965 34104496 42630620 51156744 63945930 85261240 102313488 127891860 170522480 215284631 255783720 430569262 511567440 645853893 861138524 1076423155 1291707786 1722277048 2152846310 2583415572 3229269465 3444554096 4305692620 5166831144 6458538930 8611385240 10333662288 12917077860 17222770480 25834155720 51668311440