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328940826469248 = 2737177198459963
BaseRepresentation
bin100101011001010111000000…
…1000111010010001110000000
31121010200102202202210002210010
41022302232001013102032000
5321103331303034003443
63123333155102504520
7126200122216541010
oct11262560107221600
91533612682702703
10328940826469248
11958a1026088164
1230a86b29295140
1311170caa10b0c6
145b32b6c981c40
15280678bec3733
hex12b2b811d2380

328940826469248 has 128 divisors (see below), whose sum is σ = 1057309799512320. Its totient is φ = 88454676013056.

The previous prime is 328940826469237. The next prime is 328940826469253. The reversal of 328940826469248 is 842964628049823.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 328940826469248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3599184286 + ... + 3599275677.

It is an arithmetic number, because the mean of its divisors is an integer number (8260232808690).

Almost surely, 2328940826469248 is an apocalyptic number.

It is an amenable number.

328940826469248 is an abundant number, since it is smaller than the sum of its proper divisors (728368973043072).

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

328940826469248 is a wasteful number, since it uses less digits than its factorization.

328940826469248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198460004 (or 7198459992 counting only the distinct ones).

The product of its (nonzero) digits is 2293235712, while the sum is 75.

The spelling of 328940826469248 in words is "three hundred twenty-eight trillion, nine hundred forty billion, eight hundred twenty-six million, four hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 45696 7198459963 14396919926 21595379889 28793839852 43190759778 50389219741 57587679704 86381519556 100778439482 115175359408 122373819371 151167659223 172763039112 201556878964 230350718816 244747638742 302335318446 345526078224 367121458113 403113757928 460701437632 489495277484 604670636892 691052156448 734242916226 806227515856 856616735597 921402875264 978990554968 1209341273784 1382104312896 1468485832452 1612455031712 1713233471194 1957981109936 2418682547568 2569850206791 2764208625792 2936971664904 3224910063424 3426466942388 3915962219872 4837365095136 5139700413582 5873943329808 6449820126848 6852933884776 7831924439744 9674730190272 10279400827164 11747886659616 13705867769552 15663848879488 19349460380544 20558801654328 23495773319232 27411735539104 41117603308656 46991546638464 54823471078208 82235206617312 109646942156416 164470413234624 328940826469248