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387236907728896 = 21447232712
BaseRepresentation
bin101100000001100001001111…
…0010101000100000000000000
31212210002111010220110011100211
41120003002132111010000000
5401223442141334311041
63451330102441123504
7144364641364421041
oct13003023625040000
91783074126404324
10387236907728896
11102427283193095
1237521134a89594
131380c38c413c54
146b8a51b32a8c8
152eb7dc21d4481
hex160309e544000

387236907728896 has 135 divisors (see below), whose sum is σ = 791520413537847. Its totient is φ = 189440979271680.

The previous prime is 387236907728779. The next prime is 387236907728929. The reversal of 387236907728896 is 698827709632783.

The square root of 387236907728896 is 19678336.

It is a perfect power (a square), and thus also a powerful number.

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, 118384867741 + ... + 118384871011.

Almost surely, 2387236907728896 is an apocalyptic number.

387236907728896 is the 19678336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387236907728896

387236907728896 is an abundant number, since it is smaller than the sum of its proper divisors (404283505808951).

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

387236907728896 is an frugal number, since it uses more digits than its factorization.

387236907728896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 18435465216, while the sum is 85.

The spelling of 387236907728896 in words is "three hundred eighty-seven trillion, two hundred thirty-six billion, nine hundred seven million, seven hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1024 1504 2048 2209 3008 3271 4096 4418 6016 6542 8192 8836 12032 13084 16384 17672 24064 26168 35344 48128 52336 70688 96256 104672 141376 153737 192512 209344 282752 307474 385024 418688 565504 614948 770048 837376 1131008 1229896 1674752 2262016 2459792 3349504 4524032 4919584 6699008 7225639 9048064 9839168 10699441 13398016 14451278 18096128 19678336 21398882 26796032 28902556 36192256 39356672 42797764 53592064 57805112 78713344 85595528 115610224 157426688 171191056 231220448 314853376 342382112 462440896 502873727 629706752 684764224 924881792 1005747454 1259413504 1369528448 1849763584 2011494908 2518827008 2739056896 3699527168 4022989816 5478113792 7399054336 8045979632 10956227584 14798108672 16091959264 21912455168 23635065169 29596217344 32183918528 43824910336 47270130338 59192434688 64367837056 87649820672 94540260676 118384869376 128735674112 175299641344 189080521352 257471348224 378161042704 514942696448 756322085408 1029885392896 1512644170816 2059770785792 3025288341632 4119541571584 6050576683264 8239083143168 12101153366528 24202306733056 48404613466112 96809226932224 193618453864448 387236907728896