Search a number
-
+
89694848880 = 243357213194773
BaseRepresentation
bin101001110001000111…
…0101100011101110000
322120111222200102111000
41103202032230131300
52432143340131010
6105112155522000
76323502431100
oct1234216543560
9276458612430
1089694848880
113504844958a
1215472759300
1385c583c9a0
1444ac587200
1524ee6a17c0
hex14e23ac770

89694848880 has 1920 divisors, whose sum is σ = 421773004800. Its totient is φ = 17306763264.

The previous prime is 89694848879. The next prime is 89694848923. The reversal of 89694848880 is 8884849698.

89694848880 is a `hidden beast` number, since 8 + 9 + 69 + 4 + 8 + 488 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 89694848799 and 89694848808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1228696524 + ... + 1228696596.

It is an arithmetic number, because the mean of its divisors is an integer number (219673440).

Almost surely, 289694848880 is an apocalyptic number.

89694848880 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 89694848880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210886502400).

89694848880 is an abundant number, since it is smaller than the sum of its proper divisors (332078155920).

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

89694848880 is a wasteful number, since it uses less digits than its factorization.

89694848880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 72.

The spelling of 89694848880 in words is "eighty-nine billion, six hundred ninety-four million, eight hundred forty-eight thousand, eight hundred eighty".