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448157204742 = 231361277340037
BaseRepresentation
bin1101000010110000100…
…00000100000100000110
31120211202211211211202110
412201120100010010012
524320311221022432
6541514112121450
744243516246562
oct6413020040406
91524684754673
10448157204742
11163076071065
1272a32b36286
1333351686070
1417995c7a6a2
15b9ce5cedcc
hex6858404106

448157204742 has 64 divisors (see below), whose sum is σ = 984630354624. Its totient is φ = 135143907840.

The previous prime is 448157204723. The next prime is 448157204753. The reversal of 448157204742 is 247402751844.

It is a junction number, because it is equal to n+sod(n) for n = 448157204691 and 448157204700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147948 + ... + 1487984.

It is an arithmetic number, because the mean of its divisors is an integer number (15384849291).

Almost surely, 2448157204742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448157204742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492315177312).

448157204742 is an abundant number, since it is smaller than the sum of its proper divisors (536473149882).

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

448157204742 is a wasteful number, since it uses less digits than its factorization.

448157204742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340393.

The product of its (nonzero) digits is 2007040, while the sum is 48.

The spelling of 448157204742 in words is "four hundred forty-eight billion, one hundred fifty-seven million, two hundred four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 39 61 78 122 183 277 366 554 793 831 1586 1662 2379 3601 4758 7202 10803 16897 21606 33794 50691 101382 219661 340037 439322 658983 680074 1020111 1317966 2040222 4420481 8840962 13261443 20742257 26522886 41484514 62226771 94190249 124453542 188380498 269649341 282570747 539298682 565141494 808948023 1224473237 1617896046 2448946474 3673419711 5745605189 7346839422 11491210378 17236815567 34473631134 74692867457 149385734914 224078602371 448157204742