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483724814742 = 232133189749257
BaseRepresentation
bin1110000101000000011…
…11101110100110010110
31201020120121120122020100
413002200033232212112
530411132023032432
61010115313314530
746643103040551
oct7024017564626
91636517518210
10483724814742
11177168057974
12798ba565a46
13367cc374840
14195ab8db698
15c8b1dd107c
hex70a03ee996

483724814742 has 96 divisors (see below), whose sum is σ = 1178193219840. Its totient is φ = 142418580480.

The previous prime is 483724814593. The next prime is 483724814767. The reversal of 483724814742 is 247418427384.

483724814742 is a `hidden beast` number, since 4 + 83 + 7 + 2 + 481 + 47 + 42 = 666.

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, 270978 + ... + 1020234.

It is an arithmetic number, because the mean of its divisors is an integer number (12272846040).

Almost surely, 2483724814742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483724814742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589096609920).

483724814742 is an abundant number, since it is smaller than the sum of its proper divisors (694468405098).

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

483724814742 is a wasteful number, since it uses less digits than its factorization.

483724814742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749398 (or 749395 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

It can be divided in two parts, 483724 and 814742, that added together give a triangular number (1298466 = T1611).

The spelling of 483724814742 in words is "four hundred eighty-three billion, seven hundred twenty-four million, eight hundred fourteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 89 93 117 178 186 234 267 279 403 534 558 801 806 1157 1209 1602 2314 2418 2759 3471 3627 5518 6942 7254 8277 10413 16554 20826 24831 35867 49662 71734 107601 215202 322803 645606 749257 1498514 2247771 4495542 6743313 9740341 13486626 19480682 23226967 29221023 46453934 58442046 66683873 69680901 87663069 133367746 139361802 175326138 200051619 209042703 301950571 400103238 418085406 600154857 603901142 866890349 905851713 1200309714 1733780698 1811703426 2067200063 2600671047 2717555139 4134400126 5201342094 5435110278 6201600189 7802013141 12403200378 15604026282 18604800567 26873600819 37209601134 53747201638 80620802457 161241604914 241862407371 483724814742