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332296797696 = 2931459148279
BaseRepresentation
bin1001101010111100110…
…11101011111000000000
31011202201100001100020120
410311132123223320000
520421020440011241
6412353253340240
733002424114363
oct4653633537000
91152640040216
10332296797696
11118a20974446
1254499637680
1325448cb73a6
14121246240da
15899cc75666
hex4d5e6ebe00

332296797696 has 80 divisors (see below), whose sum is σ = 885872169600. Its totient is φ = 110688933888.

The previous prime is 332296797691. The next prime is 332296797779. The reversal of 332296797696 is 696797692233.

332296797696 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3322967976962 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332296797696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332296797691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2166885 + ... + 2315163.

It is an arithmetic number, because the mean of its divisors is an integer number (11073402120).

Almost surely, 2332296797696 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 332296797696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442936084800).

332296797696 is an abundant number, since it is smaller than the sum of its proper divisors (553575371904).

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

332296797696 is a wasteful number, since it uses less digits than its factorization.

332296797696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149759 (or 149743 counting only the distinct ones).

The product of its digits is 277766496, while the sum is 69.

The spelling of 332296797696 in words is "three hundred thirty-two billion, two hundred ninety-six million, seven hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1459 1536 2918 4377 5836 8754 11672 17508 23344 35016 46688 70032 93376 140064 148279 186752 280128 296558 373504 444837 560256 593116 747008 889674 1120512 1186232 1779348 2241024 2372464 3558696 4744928 7117392 9489856 14234784 18979712 28469568 37959424 56939136 75918848 113878272 216339061 227756544 432678122 649017183 865356244 1298034366 1730712488 2596068732 3461424976 5192137464 6922849952 10384274928 13845699904 20768549856 27691399808 41537099712 55382799616 83074199424 110765599232 166148398848 332296797696