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432645066403352 = 231149135099285281
BaseRepresentation
bin110001001011111010000011…
…1011111110010111000011000
32002201212110112120001021102022
41202113310013133302320120
5423201424043444401402
64132054222154554012
7160062401031646655
oct14227640737627030
92081773476037368
10432645066403352
11115943818a50980
1240635619438908
131575434076c40a
1478ba1c0b20c2c
15350415740b2a2
hex1897d077f2e18

432645066403352 has 64 divisors (see below), whose sum is σ = 886786544592000. Its totient is φ = 196250045824000.

The previous prime is 432645066403349. The next prime is 432645066403367. The reversal of 432645066403352 is 253304660546234.

It is a super-2 number, since 2×4326450664033522 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432645066403294 and 432645066403303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1516414952 + ... + 1516700232.

It is an arithmetic number, because the mean of its divisors is an integer number (13856039759250).

Almost surely, 2432645066403352 is an apocalyptic number.

It is an amenable number.

432645066403352 is an abundant number, since it is smaller than the sum of its proper divisors (454141478188648).

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

432645066403352 is a wasteful number, since it uses less digits than its factorization.

432645066403352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320888 (or 320884 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 53.

The spelling of 432645066403352 in words is "four hundred thirty-two trillion, six hundred forty-five billion, sixty-six million, four hundred three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 491 982 1964 3928 5401 10802 21604 35099 43208 70198 140396 280792 285281 386089 570562 772178 1141124 1544356 2282248 3088712 3138091 6276182 12552364 17233609 25104728 34467218 68934436 137868872 140072971 189569699 280145942 379139398 560291884 758278796 1120583768 1516557592 1540802681 3081605362 6163210724 10013077819 12326421448 20026155638 40052311276 80104622552 110143856009 220287712018 440575424036 881150848072 4916421209129 9832842418258 19665684836516 39331369673032 54080633300419 108161266600838 216322533201676 432645066403352