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434475375446364 = 223773148514770977
BaseRepresentation
bin110001011001001110010111…
…0011010101100100101011100
32002222100102212221102100120120
41202302130232122230211130
5423421421032103240424
64140015122041514540
7160341544555061640
oct14262345632544534
92088312787370516
10434475375446364
11116489a7676513a
12408902a41a2a50
1315857b100c25a5
147940a129c2c20
153536a7cc86a79
hex18b272e6ac95c

434475375446364 has 96 divisors (see below), whose sum is σ = 1174551577683456. Its totient is φ = 122427060940800.

The previous prime is 434475375446351. The next prime is 434475375446383. The reversal of 434475375446364 is 463644573574434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88680844 + ... + 93451820.

It is an arithmetic number, because the mean of its divisors is an integer number (12234912267536).

Almost surely, 2434475375446364 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 434475375446364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587275788841728).

434475375446364 is an abundant number, since it is smaller than the sum of its proper divisors (740076202237092).

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

434475375446364 is a wasteful number, since it uses less digits than its factorization.

434475375446364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785915 (or 4785913 counting only the distinct ones).

The product of its digits is 4877107200, while the sum is 69.

The spelling of 434475375446364 in words is "four hundred thirty-four trillion, four hundred seventy-five billion, three hundred seventy-five million, four hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 6132 14851 29702 44553 59404 89106 103957 178212 207914 311871 415828 623742 1084123 1247484 2168246 3252369 4336492 4770977 6504738 7588861 9541954 13009476 14312931 15177722 19083908 22766583 28625862 30355444 33396839 45533166 57251724 66793678 91066332 100190517 133587356 200381034 348281321 400762068 696562642 1044843963 1393125284 2089687926 2437969247 4179375852 4875938494 7313907741 9751876988 14627815482 29255630964 70853779427 141707558854 212561338281 283415117708 425122676562 495976455989 850245353124 991952911978 1487929367967 1983905823956 2975858735934 5172325898171 5951717471868 10344651796342 15516977694513 20689303592684 31033955389026 36206281287197 62067910778052 72412562574394 108618843861591 144825125148788 217237687723182 434475375446364