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332194106496 = 2737251647761
BaseRepresentation
bin1001101010110000100…
…11111100110010000000
31011202110011211002101210
410311120103330302000
520420313142401441
6412335144330120
733000036213210
oct4653023746200
91152404732353
10332194106496
11118978a04a8a
125446b173940
1325430940975
1412114b32240
158993c3d616
hex4d584fcc80

332194106496 has 256 divisors, whose sum is σ = 1015361464320. Its totient is φ = 94264320000.

The previous prime is 332194106467. The next prime is 332194106561. The reversal of 332194106496 is 694601491233.

It is a super-2 number, since 2×3321941064962 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436522756 + ... + 436523516.

It is an arithmetic number, because the mean of its divisors is an integer number (3966255720).

Almost surely, 2332194106496 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 332194106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507680732160).

332194106496 is an abundant number, since it is smaller than the sum of its proper divisors (683167357824).

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

332194106496 is a wasteful number, since it uses less digits than its factorization.

332194106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 332194106496 in words is "three hundred thirty-two billion, one hundred ninety-four million, one hundred six thousand, four hundred ninety-six".