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642211935140 = 225193166376149
BaseRepresentation
bin10010101100001101101…
…00000111001110100100
32021101122212001112120102
421112012310013032210
541010222223411030
61211010022323232
764253416244216
oct11260664071644
92241585045512
10642211935140
112283a6993206
12a456b589518
134873905ca19
14231245185b6
1511a8ab2cc45
hex9586d073a4

642211935140 has 24 divisors (see below), whose sum is σ = 1355632870200. Its totient is φ = 255553763328.

The previous prime is 642211935109. The next prime is 642211935181. The reversal of 642211935140 is 41539112246.

It can be written as a sum of positive squares in 4 ways, for example, as 116749322596 + 525462612544 = 341686^2 + 724888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 642211935094 and 642211935103.

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, 83184215 + ... + 83191934.

It is an arithmetic number, because the mean of its divisors is an integer number (56484702925).

Almost surely, 2642211935140 is an apocalyptic number.

It is an amenable number.

642211935140 is an abundant number, since it is smaller than the sum of its proper divisors (713420935060).

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

642211935140 is a wasteful number, since it uses less digits than its factorization.

642211935140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166376351 (or 166376349 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 642211935140 in words is "six hundred forty-two billion, two hundred eleven million, nine hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 166376149 332752298 665504596 831880745 1663761490 3327522980 32110596757 64221193514 128442387028 160552983785 321105967570 642211935140