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332401063328 = 25294153164837
BaseRepresentation
bin1001101011001001010…
…01011011010110100000
31011202222121020120210122
410311210221123112200
520421224133011303
6412411500215412
733005131263665
oct4654451332640
91152877216718
10332401063328
11118a74809794
125450853a568
1325464792629
1412134405a6c
1589a6ebde38
hex4d64a5b5a0

332401063328 has 96 divisors (see below), whose sum is σ = 706581383760. Its totient is φ = 153600778240.

The previous prime is 332401063321. The next prime is 332401063339. The reversal of 332401063328 is 823360104233.

It can be written as a sum of positive squares in 8 ways, for example, as 241407134224 + 90993929104 = 491332^2 + 301652^2 .

It is a super-2 number, since 2×3324010633282 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332401063321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1934126 + ... + 2098962.

Almost surely, 2332401063328 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 332401063328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353290691880).

332401063328 is an abundant number, since it is smaller than the sum of its proper divisors (374180320432).

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

332401063328 is a wasteful number, since it uses less digits than its factorization.

332401063328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164970 (or 164962 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 332401063328 in words is "three hundred thirty-two billion, four hundred one million, sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 41 53 58 82 106 116 164 212 232 328 424 464 656 848 928 1189 1312 1537 1696 2173 2378 3074 4346 4756 6148 8692 9512 12296 17384 19024 24592 34768 38048 49184 63017 69536 126034 164837 252068 329674 504136 659348 1008272 1318696 2016544 2637392 4780273 5274784 6758317 8736361 9560546 13516634 17472722 19121092 27033268 34945444 38242184 54066536 69890888 76484368 108133072 139781776 152968736 195991193 216266144 253354469 279563552 358190801 391982386 506708938 716381602 783964772 1013417876 1432763204 1567929544 2026835752 2865526408 3135859088 4053671504 5731052816 6271718176 8107343008 10387533229 11462105632 20775066458 41550132916 83100265832 166200531664 332401063328