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89211473376 = 253171923671867
BaseRepresentation
bin101001100010101101…
…0110000110111100000
322112021022010101221120
41103011122300313200
52430201114122001
6104552211252240
76305513004054
oct1230532606740
9275238111846
1089211473376
113491a6073a3
12153588aa080
13854965878c
1444642bbc64
1524c201e236
hex14c56b0de0

89211473376 has 384 divisors, whose sum is σ = 276566814720. Its totient is φ = 24970125312.

The previous prime is 89211473333. The next prime is 89211473419. The reversal of 89211473376 is 67337411298.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89211473333) and next prime (89211473419).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 47782395 + ... + 47784261.

It is an arithmetic number, because the mean of its divisors is an integer number (720226080).

Almost surely, 289211473376 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 89211473376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138283407360).

89211473376 is an abundant number, since it is smaller than the sum of its proper divisors (187355341344).

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

89211473376 is a wasteful number, since it uses less digits than its factorization.

89211473376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1998 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The spelling of 89211473376 in words is "eighty-nine billion, two hundred eleven million, four hundred seventy-three thousand, three hundred seventy-six".