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2816901423312 = 2431916385722111
BaseRepresentation
bin101000111111011100011…
…010001010000011010000
3100222021220200222212001220
4220333130122022003100
5332123003231021222
65554022221325040
7410341305014514
oct50773432120320
910867820885056
102816901423312
11996706465019
12395b26706780
1317582bc6b432
149a4a5794144
154d419ec3b5c
hex28fdc68a0d0

2816901423312 has 160 divisors (see below), whose sum is σ = 7716330885120. Its totient is φ = 883018920960.

The previous prime is 2816901423311. The next prime is 2816901423317. The reversal of 2816901423312 is 2133241096182.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816901423311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 127387137 + ... + 127409247.

It is an arithmetic number, because the mean of its divisors is an integer number (48227068032).

Almost surely, 22816901423312 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 2816901423312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858165442560).

2816901423312 is an abundant number, since it is smaller than the sum of its proper divisors (4899429461808).

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

2816901423312 is a wasteful number, since it uses less digits than its factorization.

2816901423312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23161 (or 23155 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 2816901423312 in words is "two trillion, eight hundred sixteen billion, nine hundred one million, four hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 163 228 304 326 456 489 652 857 912 978 1304 1714 1956 2571 2608 3097 3428 3912 5142 6194 6856 7824 9291 10284 12388 13712 16283 18582 20568 22111 24776 32566 37164 41136 44222 48849 49552 65132 66333 74328 88444 97698 130264 132666 139691 148656 176888 195396 260528 265332 279382 353776 390792 419073 420109 530664 558764 781584 838146 840218 1061328 1117528 1260327 1676292 1680436 2235056 2520654 2654129 3352584 3360872 3604093 5041308 5308258 6705168 6721744 7208186 7962387 10082616 10616516 10812279 14416372 15924774 18949127 20165232 21233032 21624558 28832744 31849548 37898254 42466064 43249116 56847381 57665488 63699096 68477767 75796508 86498232 113694762 127398192 136955534 151593016 172996464 205433301 227389524 273911068 303186032 360033413 410866602 454779048 547822136 720066826 821733204 909558096 1080100239 1095644272 1440133652 1643466408 2160200478 2880267304 3088707701 3286932816 4320400956 5760534608 6177415402 8640801912 9266123103 12354830804 17281603824 18532246206 24709661608 37064492412 49419323216 58685446319 74128984824 117370892638 148257969648 176056338957 234741785276 352112677914 469483570552 704225355828 938967141104 1408450711656 2816901423312