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842212212248 = 231188071086703
BaseRepresentation
bin11000100000101111100…
…00100111111000011000
32222111220012212022012002
430100113300213320120
5102244322311242443
61442523522340132
7114563542454141
oct14202760477030
92874805768162
10842212212248
112a51a8923620
121172871ba648
1361560448064
142ca9866cac8
1516d941092b8
hexc417c27e18

842212212248 has 32 divisors (see below), whose sum is σ = 1722903989760. Its totient is φ = 382779912480.

The previous prime is 842212212227. The next prime is 842212212253.

842212212248 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231665 + ... + 1318367.

It is an arithmetic number, because the mean of its divisors is an integer number (53840749680).

Almost surely, 2842212212248 is an apocalyptic number.

842212212248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

842212212248 is an abundant number, since it is smaller than the sum of its proper divisors (880691777512).

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

842212212248 is a wasteful number, since it uses less digits than its factorization.

842212212248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095527 (or 1095523 counting only the distinct ones).

The product of its digits is 65536, while the sum is 38.

The spelling of 842212212248 in words is "eight hundred forty-two billion, two hundred twelve million, two hundred twelve thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 8807 17614 35228 70456 96877 193754 387508 775016 1086703 2173406 4346812 8693624 11953733 23907466 47814932 95629864 9570593321 19141186642 38282373284 76564746568 105276526531 210553053062 421106106124 842212212248