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433494972066 = 231347239494759
BaseRepresentation
bin1100100111011100101…
…00000101011010100010
31112102221000021020201210
412103232110011122202
524100244203101231
6531051141410550
743214260315542
oct6235624053242
91472830236653
10433494972066
111579316796a2
1270020709a56
1331b55acc340
1416da485b322
15b422289a46
hex64ee5056a2

433494972066 has 64 divisors (see below), whose sum is σ = 957538713600. Its totient is φ = 129998654016.

The previous prime is 433494972061. The next prime is 433494972091. The reversal of 433494972066 is 660279494334.

It is a junction number, because it is equal to n+sod(n) for n = 433494971997 and 433494972015.

It is not an unprimeable number, because it can be changed into a prime (433494972061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628795 + ... + 1123553.

It is an arithmetic number, because the mean of its divisors is an integer number (14961542400).

Almost surely, 2433494972066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433494972066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478769356800).

433494972066 is an abundant number, since it is smaller than the sum of its proper divisors (524043741534).

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

433494972066 is a wasteful number, since it uses less digits than its factorization.

433494972066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495063.

The product of its (nonzero) digits is 23514624, while the sum is 57.

The spelling of 433494972066 in words is "four hundred thirty-three billion, four hundred ninety-four million, nine hundred seventy-two thousand, sixty-six".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 239 282 478 611 717 1222 1434 1833 3107 3666 6214 9321 11233 18642 22466 33699 67398 146029 292058 438087 494759 876174 989518 1484277 2968554 6431867 12863734 19295601 23253673 38591202 46507346 69761019 118247401 139522038 236494802 302297749 354742203 604595498 709484406 906893247 1537216213 1813786494 3074432426 4611648639 5557627847 9223297278 11115255694 16672883541 33345767082 72249162011 144498324022 216747486033 433494972066