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146843934720 = 213357315507
BaseRepresentation
bin1000100011000010010…
…1001010000000000000
3112001000210202210012220
42020300211022000000
54401214021402340
6151243103051040
713415633564520
oct2106045120000
9461023683186
10146843934720
115730463363a
12245618a0a80
1310b02754402
147170561680
153c469aded0
hex223094a000

146843934720 has 448 divisors, whose sum is σ = 554419593216. Its totient is φ = 32475709440.

The previous prime is 146843934661. The next prime is 146843934749. The reversal of 146843934720 is 27439348641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26662207 + ... + 26667713.

Almost surely, 2146843934720 is an apocalyptic number.

146843934720 is a gapful number since it is divisible by the number (10) 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 146843934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277209796608).

146843934720 is an abundant number, since it is smaller than the sum of its proper divisors (407575658496).

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

146843934720 is an equidigital number, since it uses as much as digits as its factorization.

146843934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 146843934720 in words is "one hundred forty-six billion, eight hundred forty-three million, nine hundred thirty-four thousand, seven hundred twenty".