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339033888386368 = 26747154511042103
BaseRepresentation
bin100110100010110010111101…
…0011110111110110101000000
31122110102022201121102120101121
41031011211322132332311000
5323414212400411330433
63201022003531442024
7131261250544365040
oct11505457236766500
91573368647376347
10339033888386368
119903251244298a
12320370572b6314
13117239b253b876
145da14834d1720
15292e0b1eb7c2d
hex134597a7bed40

339033888386368 has 112 divisors (see below), whose sum is σ = 785291158278144. Its totient is φ = 142199403148800.

The previous prime is 339033888386329. The next prime is 339033888386419. The reversal of 339033888386368 is 863683888330933.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3390338883863682 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 324815205 + ... + 325857307.

It is an arithmetic number, because the mean of its divisors is an integer number (7011528198912).

Almost surely, 2339033888386368 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 339033888386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392645579139072).

339033888386368 is an abundant number, since it is smaller than the sum of its proper divisors (446257269891776).

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

339033888386368 is a wasteful number, since it uses less digits than its factorization.

339033888386368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057620 (or 1057610 counting only the distinct ones).

The product of its (nonzero) digits is 7739670528, while the sum is 79.

The spelling of 339033888386368 in words is "three hundred thirty-nine trillion, thirty-three billion, eight hundred eighty-eight million, three hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 5264 10528 15451 21056 30902 61804 108157 123608 216314 247216 432628 494432 726197 865256 988864 1042103 1452394 1730512 2084206 2904788 3461024 4168412 5083379 5809576 6922048 7294721 8336824 10166758 11619152 14589442 16673648 20333516 23238304 29178884 33347296 40667032 46476608 48978841 58357768 66694592 81334064 97957682 116715536 162668128 195915364 233431072 325336256 342851887 391830728 466862144 685703774 783661456 1371407548 1567322912 2742815096 3134645824 5485630192 10971260384 16101533453 21942520768 32203066906 64406133812 112710734171 128812267624 225421468342 257624535248 450842936684 515249070496 756772072291 901685873368 1030498140992 1513544144582 1803371746736 3027088289164 3606743493472 5297404506037 6054176578328 7213486986944 10594809012074 12108353156656 21189618024148 24216706313312 42379236048296 48433412626624 84758472096592 169516944193184 339033888386368