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146734483896 = 233272111331721
BaseRepresentation
bin1000100010101000001…
…1101000100110111000
3112000202011211002220200
42020222003220212320
54401003011441041
6151224153122200
713413134351100
oct2105203504670
9460664732820
10146734483896
1157258877610
12245310b9360
1310ab5b82000
14715dbd0200
153c3c08e1b6
hex222a0e89b8

146734483896 has 576 divisors, whose sum is σ = 546639256800. Its totient is φ = 35160652800.

The previous prime is 146734483871. The next prime is 146734483897. The reversal of 146734483896 is 698384437641.

It is a happy number.

146734483896 is a `hidden beast` number, since 1 + 4 + 6 + 73 + 4 + 483 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146734483897) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85260316 + ... + 85262036.

Almost surely, 2146734483896 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 146734483896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273319628400).

146734483896 is an abundant number, since it is smaller than the sum of its proper divisors (399904772904).

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

146734483896 is a wasteful number, since it uses less digits than its factorization.

146734483896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1757 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 146734483896 in words is "one hundred forty-six billion, seven hundred thirty-four million, four hundred eighty-three thousand, eight hundred ninety-six".