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842006906028 = 223859543793
BaseRepresentation
bin11000100000010111000…
…01011100010010101100
32222111100220112200000000
430100023201130102230
5102243412231443103
61442451310104300
7114555500416551
oct14201341342254
92874326480000
10842006906028
112a5102a46a62
1211722a4ab090
1361529a537a2
142ca792a8a28
1516d810a2aa3
hexc40b85c4ac

842006906028 has 108 divisors (see below), whose sum is σ = 2247620236680. Its totient is φ = 275911360128.

The previous prime is 842006906021. The next prime is 842006906029. The reversal of 842006906028 is 820609600248.

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (842006906021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1276500 + ... + 1820292.

Almost surely, 2842006906028 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 842006906028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123810118340).

842006906028 is an abundant number, since it is smaller than the sum of its proper divisors (1405613330652).

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

842006906028 is an equidigital number, since it uses as much as digits as its factorization.

842006906028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543880 (or 543857 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 842006906028 in words is "eight hundred forty-two billion, six million, nine hundred six thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 729 972 1062 1458 1593 2124 2187 2916 3186 4374 4779 6372 6561 8748 9558 13122 14337 19116 26244 28674 43011 57348 86022 129033 172044 258066 387099 516132 543793 774198 1087586 1548396 1631379 2175172 3262758 4894137 6525516 9788274 14682411 19576548 29364822 32083787 44047233 58729644 64167574 88094466 96251361 128335148 132141699 176188932 192502722 264283398 288754083 385005444 396425097 528566796 577508166 792850194 866262249 1155016332 1189275291 1585700388 1732524498 2378550582 2598786747 3465048996 3567825873 4757101164 5197573494 7135651746 7796360241 10395146988 14271303492 15592720482 23389080723 31185440964 46778161446 70167242169 93556322892 140334484338 210501726507 280668968676 421003453014 842006906028