Search a number
-
+
361226010048 = 26329102163541
BaseRepresentation
bin1010100000110101011…
…11110111110111000000
31021112101110110121002220
411100122233313313000
521404242324310143
6433540035011040
735045342265351
oct5203257676700
91245343417086
10361226010048
1112a216735902
125a011a39a80
13280a9589117
14136aa775d28
1595e2888d83
hex541abf7dc0

361226010048 has 112 divisors (see below), whose sum is σ = 989684441760. Its totient is φ = 116140953600.

The previous prime is 361226010029. The next prime is 361226010071. The reversal of 361226010048 is 840010622163.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5653158 + ... + 5716698.

It is an arithmetic number, because the mean of its divisors is an integer number (8836468230).

Almost surely, 2361226010048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361226010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494842220880).

361226010048 is an abundant number, since it is smaller than the sum of its proper divisors (628458431712).

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

361226010048 is a wasteful number, since it uses less digits than its factorization.

361226010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64606 (or 64596 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 361226010048 in words is "three hundred sixty-one billion, two hundred twenty-six million, ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1021 1392 1856 2042 2784 3063 4084 5568 6126 8168 12252 16336 24504 29609 32672 49008 59218 63541 65344 88827 98016 118436 127082 177654 190623 196032 236872 254164 355308 381246 473744 508328 710616 762492 947488 1016656 1421232 1524984 1842689 1894976 2033312 2842464 3049968 3685378 4066624 5528067 5684928 6099936 7370756 11056134 12199872 14741512 22112268 29483024 44224536 58966048 64875361 88449072 117932096 129750722 176898144 194626083 259501444 353796288 389252166 519002888 778504332 1038005776 1557008664 1881385469 2076011552 3114017328 3762770938 4152023104 5644156407 6228034656 7525541876 11288312814 12456069312 15051083752 22576625628 30102167504 45153251256 60204335008 90306502512 120408670016 180613005024 361226010048