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4342435646164 = 2272113754435587
BaseRepresentation
bin111111001100001101010…
…101011000101011010100
3120101010120210202220120221
4333030031111120223110
51032121302011134124
613122515402204124
7625505413655500
oct77141525305324
916333523686527
104342435646164
111424686795a20
125a1714ab3644
1325664a496435
1411026430b300
1577e53db8ce4
hex3f30d558ad4

4342435646164 has 72 divisors (see below), whose sum is σ = 9904228623072. Its totient is φ = 1646132120640.

The previous prime is 4342435646137. The next prime is 4342435646191. The reversal of 4342435646164 is 4616465342434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4342435646137) and next prime (4342435646191).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27138022 + ... + 27297565.

It is an arithmetic number, because the mean of its divisors is an integer number (137558730876).

Almost surely, 24342435646164 is an apocalyptic number.

4342435646164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4342435646164 is an abundant number, since it is smaller than the sum of its proper divisors (5561792976908).

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

4342435646164 is a wasteful number, since it uses less digits than its factorization.

4342435646164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54435653 (or 54435644 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 52.

The spelling of 4342435646164 in words is "four trillion, three hundred forty-two billion, four hundred thirty-five million, six hundred forty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 37 44 49 74 77 98 148 154 196 259 308 407 518 539 814 1036 1078 1628 1813 2156 2849 3626 5698 7252 11396 19943 39886 79772 54435587 108871174 217742348 381049109 598791457 762098218 1197582914 1524196436 2014116719 2395165828 2667343763 4028233438 4191540199 5334687526 8056466876 8383080398 10669375052 14098817033 16766160796 22155283909 28197634066 29340781393 44310567818 56395268132 58681562786 88621135636 98691719231 117363125572 155086987363 197383438462 310173974726 394766876924 620347949452 1085608911541 2171217823082 4342435646164