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85803321103332 = 22378939112934587
BaseRepresentation
bin10011100000100110100100…
…011110011001001111100100
3102020210201100222100102022220
4103200212210132121033210
542221300200200301312
6502253300200152340
724034041166442520
oct2340464436311744
9366721328312286
1085803321103332
1125380a90969498
1297593127686b0
1338b52abc63841
141728c8d7b2d80
159dbe1bcbcc8c
hex4e09a47993e4

85803321103332 has 96 divisors (see below), whose sum is σ = 231438982440960. Its totient is φ = 24233576421120.

The previous prime is 85803321103321. The next prime is 85803321103351. The reversal of 85803321103332 is 23330112330858.

It is a happy number.

It is a super-2 number, since 2×858033211033322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27771343 + ... + 30705929.

It is an arithmetic number, because the mean of its divisors is an integer number (2410822733760).

Almost surely, 285803321103332 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 85803321103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115719491220480).

85803321103332 is an abundant number, since it is smaller than the sum of its proper divisors (145635661337628).

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

85803321103332 is a wasteful number, since it uses less digits than its factorization.

85803321103332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938601 (or 2938599 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 85803321103332 in words is "eighty-five trillion, eight hundred three billion, three hundred twenty-one million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 3911 7476 7822 11733 15644 23466 27377 46932 54754 82131 109508 164262 328524 348079 696158 1044237 1392316 2088474 2436553 2934587 4176948 4873106 5869174 7309659 8803761 9746212 11738348 14619318 17607522 20542109 29238636 35215044 41084218 61626327 82168436 123252654 246505308 261178243 522356486 783534729 1044712972 1567069458 1828247701 3134138916 3656495402 5484743103 7312990804 10969486206 11477169757 21938972412 22954339514 34431509271 45908679028 68863018542 80340188299 137726037084 160680376598 241020564897 321360753196 482041129794 964082259588 1021468108373 2042936216746 3064404325119 4085872433492 6128808650238 7150276758611 12257617300476 14300553517222 21450830275833 28601107034444 42901660551666 85803321103332