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81634230432 = 253331103127233
BaseRepresentation
bin100110000000111000…
…1111000000010100000
321210201020012120201000
41030001301320002200
52314141330333212
6101300252512000
75616654336546
oct1140161700240
9253636176630
1081634230432
1131691438647
12139a317b600
13790c894281
143d45c1dd96
1521cbbd01dc
hex1301c780a0

81634230432 has 384 divisors, whose sum is σ = 251194245120. Its totient is φ = 25761576960.

The previous prime is 81634230421. The next prime is 81634230439. The reversal of 81634230432 is 23403243618.

81634230432 is a `hidden beast` number, since 8 + 1 + 6 + 342 + 304 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81634230439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350361388 + ... + 350361620.

It is an arithmetic number, because the mean of its divisors is an integer number (654151680).

Almost surely, 281634230432 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 81634230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125597122560).

81634230432 is an abundant number, since it is smaller than the sum of its proper divisors (169560014688).

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

81634230432 is a wasteful number, since it uses less digits than its factorization.

81634230432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 81634230432 in words is "eighty-one billion, six hundred thirty-four million, two hundred thirty thousand, four hundred thirty-two".