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842009487072 = 25313976955537
BaseRepresentation
bin11000100000010111010…
…11010010011011100000
32222111101002101210112020
430100023223102123200
5102243413412041242
61442451441301440
7114555531356505
oct14201353223340
92874332353466
10842009487072
112a510444a156
1211722b334880
136152a448530
142ca7977b4ac
1516d814126ec
hexc40bad26e0

842009487072 has 96 divisors (see below), whose sum is σ = 2404835530272. Its totient is φ = 256408879104.

The previous prime is 842009487041. The next prime is 842009487073. The reversal of 842009487072 is 270784900248.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842009487073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3356713 + ... + 3598824.

It is an arithmetic number, because the mean of its divisors is an integer number (25050370107).

Almost surely, 2842009487072 is an apocalyptic number.

It is an amenable number.

842009487072 is an abundant number, since it is smaller than the sum of its proper divisors (1562826043200).

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

842009487072 is a wasteful number, since it uses less digits than its factorization.

842009487072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6955660 (or 6955652 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 842009487072 in words is "eight hundred forty-two billion, nine million, four hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 97 104 156 194 208 291 312 388 416 582 624 776 1164 1248 1261 1552 2328 2522 3104 3783 4656 5044 7566 9312 10088 15132 20176 30264 40352 60528 121056 6955537 13911074 20866611 27822148 41733222 55644296 83466444 90421981 111288592 166932888 180843962 222577184 271265943 333865776 361687924 542531886 667731552 674687089 723375848 1085063772 1349374178 1446751696 2024061267 2170127544 2698748356 2893503392 4048122534 4340255088 5397496712 8096245068 8680510176 8770932157 10794993424 16192490136 17541864314 21589986848 26312796471 32384980272 35083728628 52625592942 64769960544 70167457256 105251185884 140334914512 210502371768 280669829024 421004743536 842009487072