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248452356540 = 223543460320921
BaseRepresentation
bin1110011101100011101…
…0100001100110111100
3212202022001221102102010
43213120322201212330
513032312300402130
6310045404131220
723643611120463
oct3473072414674
9782261842363
10248452356540
1196405972873
124019a236b10
131a57655802b
14c04d0699da
1566e200d0b0
hex39d8ea19bc

248452356540 has 96 divisors (see below), whose sum is σ = 712033572096. Its totient is φ = 64696020480.

The previous prime is 248452356539. The next prime is 248452356571. The reversal of 248452356540 is 45653254842.

It is a self number, because there is not a number n which added to its sum of digits gives 248452356540.

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, 11865280 + ... + 11886200.

It is an arithmetic number, because the mean of its divisors is an integer number (7417016376).

Almost surely, 2248452356540 is an apocalyptic number.

248452356540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248452356540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356016786048).

248452356540 is an abundant number, since it is smaller than the sum of its proper divisors (463581215556).

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

248452356540 is a wasteful number, since it uses less digits than its factorization.

248452356540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25579 (or 25577 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 248452356540 in words is "two hundred forty-eight billion, four hundred fifty-two million, three hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 4603 9206 13809 18412 20921 23015 27618 41842 46030 55236 62763 69045 83684 92060 104605 125526 138090 197929 209210 251052 276180 313815 395858 418420 593787 627630 791716 899603 989645 1187574 1255260 1799206 1979290 2375148 2698809 2968935 3598412 3958580 4498015 5397618 5937870 8996030 10795236 11875740 13494045 17992060 26988090 53976180 96299363 192598726 288898089 385197452 481496815 577796178 962993630 1155592356 1444490445 1925987260 2888980890 4140872609 5777961780 8281745218 12422617827 16563490436 20704363045 24845235654 41408726090 49690471308 62113089135 82817452180 124226178270 248452356540