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89208614040 = 233572132115531
BaseRepresentation
bin101001100010100111…
…1110110110010011000
322112021002202010200020
41103011033312302120
52430144401122130
6104552030110440
76305446464600
oct1230517666230
9275232663606
1089208614040
1134918a34107
121535794b420
138548b97170
144463b75c00
1524c1b56e10
hex14c53f6c98

89208614040 has 384 divisors, whose sum is σ = 336917387520. Its totient is φ = 18729446400.

The previous prime is 89208614029. The next prime is 89208614069. The reversal of 89208614040 is 4041680298.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 89208613983 and 89208614001.

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 95 ways as a sum of consecutive naturals, for example, 16126075 + ... + 16131605.

It is an arithmetic number, because the mean of its divisors is an integer number (877389030).

Almost surely, 289208614040 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 89208614040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168458693760).

89208614040 is an abundant number, since it is smaller than the sum of its proper divisors (247708773480).

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

89208614040 is a wasteful number, since it uses less digits than its factorization.

89208614040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 89208614040 in words is "eighty-nine billion, two hundred eight million, six hundred fourteen thousand, forty".