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89373198561696 = 25337315036191531
BaseRepresentation
bin10100010100100011010001…
…110000001011000110100000
3102201102222211212121002101000
4110110203101300023012200
543203242302312433241
6514025251451312000
724553000114250550
oct2424432160130640
9381388755532330
1089373198561696
1126527a626a7355
12a03515b44b600
133ab3b198520ba
14180d986127160
15a4ec06aebeb6
hex5148d1c0b1a0

89373198561696 has 768 divisors, whose sum is σ = 308831433523200. Its totient is φ = 24606430387200.

The previous prime is 89373198561683. The next prime is 89373198561707. The reversal of 89373198561696 is 69616589137398.

89373198561696 is a `hidden beast` number, since 8 + 9 + 37 + 3 + 19 + 8 + 561 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×893731985616962 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58375700451 + ... + 58375701981.

It is an arithmetic number, because the mean of its divisors is an integer number (402124262400).

Almost surely, 289373198561696 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 89373198561696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154415716761600).

89373198561696 is an abundant number, since it is smaller than the sum of its proper divisors (219458234961504).

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

89373198561696 is a wasteful number, since it uses less digits than its factorization.

89373198561696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2696 counting only the distinct ones).

The product of its digits is 3174474240, while the sum is 81.

The spelling of 89373198561696 in words is "eighty-nine trillion, three hundred seventy-three billion, one hundred ninety-eight million, five hundred sixty-one thousand, six hundred ninety-six".