Search a number
-
+
331830897216 = 263713197912653
BaseRepresentation
bin1001101010000101010…
…10011010101001000000
31011201111212101010221020
410311002222122221000
520414042202202331
6412235131425440
732655036042060
oct4650252325100
91151455333836
10331830897216
11118801988525
12543895b5280
13253a3611230
14120bc7c73a0
158971de5c96
hex4d42a9aa40

331830897216 has 448 divisors, whose sum is σ = 1151939174400. Its totient is φ = 81853784064.

The previous prime is 331830897193. The next prime is 331830897227. The reversal of 331830897216 is 612798038133.

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

It is a super-2 number, since 2×3318308972162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26219146 + ... + 26231798.

It is an arithmetic number, because the mean of its divisors is an integer number (2571292800).

Almost surely, 2331830897216 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 331830897216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575969587200).

331830897216 is an abundant number, since it is smaller than the sum of its proper divisors (820108277184).

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

331830897216 is a wasteful number, since it uses less digits than its factorization.

331830897216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12786 (or 12776 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 331830897216 in words is "three hundred thirty-one billion, eight hundred thirty million, eight hundred ninety-seven thousand, two hundred sixteen".