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482334153102 = 232197338832179
BaseRepresentation
bin1110000010011010101…
…10110001100110001110
31201002222200210201002200
413001031112301212032
530400310020344402
61005325314502330
746563455440464
oct7011526614616
91632880721080
10482334153102
1117661406722a
12795908949a6
133663a215729
14194b8d3a834
15c82ec8321c
hex704d5b198e

482334153102 has 96 divisors (see below), whose sum is σ = 1103314742400. Its totient is φ = 151866259776.

The previous prime is 482334153089. The next prime is 482334153127. The reversal of 482334153102 is 201351433284.

482334153102 is a `hidden beast` number, since 4 + 8 + 2 + 334 + 1 + 5 + 310 + 2 = 666.

It is a super-3 number, since 3×4823341531023 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221354649 + ... + 221356827.

It is an arithmetic number, because the mean of its divisors is an integer number (11492861900).

Almost surely, 2482334153102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482334153102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551657371200).

482334153102 is an abundant number, since it is smaller than the sum of its proper divisors (620980589298).

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

482334153102 is a wasteful number, since it uses less digits than its factorization.

482334153102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 482334153102 its reverse (201351433284), we get a palindrome (683685586386).

The spelling of 482334153102 in words is "four hundred eighty-two billion, three hundred thirty-four million, one hundred fifty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 733 883 1466 1766 2179 2199 2649 4358 4398 5298 6537 6597 7947 13074 13194 13927 15894 16777 19611 27854 33554 39222 41401 41781 50331 82802 83562 100662 124203 125343 150993 248406 250686 301986 372609 647239 745218 1294478 1597207 1924057 1941717 3194414 3848114 3883434 4791621 5772171 5825151 9583242 11544342 11650302 12297541 14374863 17316513 24595082 28749726 30346933 34633026 36557083 36892623 60693866 73114166 73785246 91040799 109671249 110677869 182081598 219342498 221355738 273122397 329013747 546244794 658027494 1410333781 2820667562 4231001343 8462002686 12693004029 25386008058 26796341839 53592683678 80389025517 160778051034 241167076551 482334153102