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91941306649920 = 263257132921393001
BaseRepresentation
bin10100111001111011000000…
…111011000100110101000000
3110001112111120202001000101200
4110321323000323010311000
544022331244000244140
6523313130404301200
725236353200653210
oct2471730073046500
9401474522030350
1091941306649920
11273280a8776352
12a38aa116a1800
133c3c04971a650
14189bda9452240
15a9690ebac030
hex539ec0ec4d40

91941306649920 has 2016 divisors, whose sum is σ = 406137625071360. Its totient is φ = 18588745728000.

The previous prime is 91941306649889. The next prime is 91941306649939. The reversal of 91941306649920 is 2994660314919.

91941306649920 is a `hidden beast` number, since 9 + 1 + 9 + 4 + 130 + 6 + 6 + 499 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×919413066499202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30636888420 + ... + 30636891420.

Almost surely, 291941306649920 is an apocalyptic number.

91941306649920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91941306649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203068812535680).

91941306649920 is an abundant number, since it is smaller than the sum of its proper divisors (314196318421440).

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

91941306649920 is a wasteful number, since it uses less digits than its factorization.

91941306649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 91941306649920 in words is "ninety-one trillion, nine hundred forty-one billion, three hundred six million, six hundred forty-nine thousand, nine hundred twenty".