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80989363405440 = 273257171733671861
BaseRepresentation
bin10010011010100011001110…
…001111001000001010000000
3101121202111200222122110102100
4102122203032033020022000
541103412204012433230
6444125555551550400
723026200632242530
oct2232431617101200
9347674628573370
1080989363405440
112389543a288116
129100345b2b400
1336263585a1209
1415ddc984c74c0
15956abc496660
hex49a8ce3c8280

80989363405440 has 1536 divisors, whose sum is σ = 341486876989440. Its totient is φ = 17265729208320.

The previous prime is 80989363405403. The next prime is 80989363405441. The reversal of 80989363405440 is 4450436398908.

80989363405440 is a `hidden beast` number, since 8 + 0 + 9 + 8 + 93 + 63 + 40 + 5 + 440 = 666.

80989363405440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (80989363405441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43519270110 + ... + 43519271970.

It is an arithmetic number, because the mean of its divisors is an integer number (222322185540).

Almost surely, 280989363405440 is an apocalyptic number.

80989363405440 is a gapful number since it is divisible by the number (80) 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 80989363405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170743438494720).

80989363405440 is an abundant number, since it is smaller than the sum of its proper divisors (260497513584000).

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

80989363405440 is a wasteful number, since it uses less digits than its factorization.

80989363405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 80989363405440 in words is "eighty trillion, nine hundred eighty-nine billion, three hundred sixty-three million, four hundred five thousand, four hundred forty".