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82457229749532 = 223117125343347167
BaseRepresentation
bin10010101111111010010001…
…111000110110110100011100
3101210221211112010010202002220
4102233322101320312310130
541301434401303441112
6451212154533545340
723240224010302221
oct2257722170666434
9353854463122086
1082457229749532
1124300a075a1190
1292b891b4a5250
1337018b657c831
141650d461bb948
1597ed7d75298c
hex4afe91e36d1c

82457229749532 has 96 divisors (see below), whose sum is σ = 212856355160064. Its totient is φ = 24634066161600.

The previous prime is 82457229749491. The next prime is 82457229749591. The reversal of 82457229749532 is 23594792275428.

82457229749532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 237341013 + ... + 237688179.

It is an arithmetic number, because the mean of its divisors is an integer number (2217253699584).

Almost surely, 282457229749532 is an apocalyptic number.

It is an amenable number.

82457229749532 is an abundant number, since it is smaller than the sum of its proper divisors (130399125410532).

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

82457229749532 is a wasteful number, since it uses less digits than its factorization.

82457229749532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372599 (or 372597 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 69.

The spelling of 82457229749532 in words is "eighty-two trillion, four hundred fifty-seven billion, two hundred twenty-nine million, seven hundred forty-nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 9372 25343 50686 76029 101372 152058 278773 304116 347167 557546 694334 836319 1041501 1115092 1388668 1672638 1799353 2083002 3345276 3598706 3818837 4166004 5398059 7197412 7637674 10796118 11456511 15275348 19792883 21592236 22913022 24648857 39585766 45826044 49297714 59378649 73946571 79171532 98595428 118757298 147893142 237514596 271137427 295786284 542274854 813412281 1084549708 1626824562 3253649124 8798253281 17596506562 26394759843 35193013124 52789519686 96780786091 105579039372 193561572182 290342358273 387123144364 580684716546 624675982951 1161369433092 1249351965902 1874027948853 2498703931804 3748055897706 6871435812461 7496111795412 13742871624922 20614307437383 27485743249844 41228614874766 82457229749532