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320072481096 = 233432294213217
BaseRepresentation
bin1001010100001011100…
…11100111100101001000
31010121011101211201100220
410222011303213211020
520221002023343341
6403012252030040
732060460125364
oct4520563474510
91117141751326
10320072481096
11113818631455
1252047762320
132424b533464
14116c4cd42a4
1584d4995a66
hex4a85ce7948

320072481096 has 128 divisors (see below), whose sum is σ = 824575171200. Its totient is φ = 103475957760.

The previous prime is 320072481073. The next prime is 320072481097. The reversal of 320072481096 is 690184270023.

It is a super-2 number, since 2×3200724810962 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320072481097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99492480 + ... + 99495696.

It is an arithmetic number, because the mean of its divisors is an integer number (6441993525).

Almost surely, 2320072481096 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 320072481096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412287585600).

320072481096 is an abundant number, since it is smaller than the sum of its proper divisors (504502690104).

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

320072481096 is a wasteful number, since it uses less digits than its factorization.

320072481096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3915 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 320072481096 in words is "three hundred twenty billion, seventy-two million, four hundred eighty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 229 258 344 421 458 516 687 842 916 1032 1263 1374 1684 1832 2526 2748 3217 3368 5052 5496 6434 9651 9847 10104 12868 18103 19302 19694 25736 29541 36206 38604 39388 54309 59082 72412 77208 78776 96409 108618 118164 138331 144824 192818 217236 236328 276662 289227 385636 414993 434472 553324 578454 736693 771272 829986 1106648 1156908 1354357 1473386 1659972 2210079 2313816 2708714 2946772 3319944 4063071 4145587 4420158 5417428 5893544 8126142 8291174 8840316 10834856 12436761 16252284 16582348 17680632 24873522 31677799 32504568 33164696 49747044 58237351 63355598 95033397 99494088 116474702 126711196 174712053 190066794 232949404 253422392 310147753 349424106 380133588 465898808 620295506 698848212 760267176 930443259 1240591012 1397696424 1860886518 2481182024 3721773036 7443546072 13336353379 26672706758 40009060137 53345413516 80018120274 106690827032 160036240548 320072481096