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320006312704 = 28131513891637
BaseRepresentation
bin1001010100000011101…
…11001101001100000000
31010120222210100000101201
410222001313031030000
520220333104001304
6403001525510544
732056024530541
oct4520167151400
91116883300351
10320006312704
11113794248131
1252029572454
132423a906970
14116ba1cc4c8
1584cdc753a4
hex4a81dcd300

320006312704 has 144 divisors (see below), whose sum is σ = 694657978560. Its totient is φ = 146250547200.

The previous prime is 320006312693. The next prime is 320006312723. The reversal of 320006312704 is 407213600023.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195482574 + ... + 195484210.

It is an arithmetic number, because the mean of its divisors is an integer number (4824013740).

Almost surely, 2320006312704 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 320006312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347328989280).

320006312704 is an abundant number, since it is smaller than the sum of its proper divisors (374651665856).

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

320006312704 is a wasteful number, since it uses less digits than its factorization.

320006312704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 320006312704 its reverse (407213600023), we get a palindrome (727219912727).

The spelling of 320006312704 in words is "three hundred twenty billion, six million, three hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 151 208 256 302 389 416 604 778 832 1208 1556 1637 1664 1963 2416 3112 3274 3328 3926 4832 5057 6224 6548 7852 9664 10114 12448 13096 15704 19328 20228 21281 24896 26192 31408 38656 40456 42562 49792 52384 58739 62816 80912 85124 99584 104768 117478 125632 161824 170248 209536 234956 247187 251264 323648 340496 419072 469912 494374 502528 636793 647296 680992 763607 939824 988748 1273586 1294592 1361984 1527214 1879648 1977496 2547172 2723968 3054428 3213431 3759296 3954992 5094344 5447936 6108856 6426862 7518592 7909984 8278309 10188688 12217712 12853724 15037184 15819968 16556618 20377376 24435424 25707448 31639936 33113236 40754752 48870848 51414896 63279872 66226472 81509504 96155743 97741696 102829792 132452944 163019008 192311486 195483392 205659584 264905888 384622972 411319168 529811776 769245944 822638336 1059623552 1250024659 1538491888 2119247104 2500049318 3076983776 5000098636 6153967552 10000197272 12307935104 20000394544 24615870208 40000789088 80001578176 160003156352 320006312704