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330764231168 = 297236312
BaseRepresentation
bin1001101000000110001…
…01011010001000000000
31011121202112020220012022
410310003011122020000
520404401120344133
6411541225221012
732616434401400
oct4640305321000
91147675226168
10330764231168
11118304870538
1254130331768
1325263631ba7
141201ac84800
15890d446998
hex4d0315a200

330764231168 has 90 divisors (see below), whose sum is σ = 768993397623. Its totient is φ = 141717058560.

The previous prime is 330764231159. The next prime is 330764231191. The reversal of 330764231168 is 861132467033.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 165382115584 + 165382115584 = 406672^2 + 406672^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=406672.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91092713 + ... + 91096343.

Almost surely, 2330764231168 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 330764231168

330764231168 is an abundant number, since it is smaller than the sum of its proper divisors (438229166455).

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

330764231168 is an frugal number, since it uses more digits than its factorization.

330764231168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 330764231168 in words is "three hundred thirty billion, seven hundred sixty-four million, two hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 3631 6272 7262 12544 14524 25088 25417 29048 50834 58096 101668 116192 177919 203336 232384 355838 406672 464768 711676 813344 929536 1423352 1626688 1859072 2846704 3253376 5693408 6506752 11386816 13013504 13184161 22773632 26368322 45547264 52736644 91094528 92289127 105473288 184578254 210946576 369156508 421893152 646023889 738313016 843786304 1292047778 1476626032 1687572608 2584095556 2953252064 3375145216 5168191112 5906504128 6750290432 10336382224 11813008256 20672764448 23626016512 41345528896 47252033024 82691057792 165382115584 330764231168