Search a number
-
+
252346061064 = 2334315710391499
BaseRepresentation
bin1110101100000011111…
…1110101000100001000
3220010100102122002212210
43223000333311010020
513113301042423224
6311532015505120
724142241061636
oct3530077650410
9803312562783
10252346061064
1198023855699
1240aa62281a0
131aa471405c6
14c2dc230356
15686dc88429
hex3ac0ff5108

252346061064 has 128 divisors (see below), whose sum is σ = 650707200000. Its totient is φ = 81502896384.

The previous prime is 252346060999. The next prime is 252346061069. The reversal of 252346061064 is 460160643252.

It is not an unprimeable number, because it can be changed into a prime (252346061069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168342187 + ... + 168343685.

It is an arithmetic number, because the mean of its divisors is an integer number (5083650000).

Almost surely, 2252346061064 is an apocalyptic number.

252346061064 is a gapful number since it is divisible by the number (24) 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 252346061064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325353600000).

252346061064 is an abundant number, since it is smaller than the sum of its proper divisors (398361138936).

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

252346061064 is a wasteful number, since it uses less digits than its factorization.

252346061064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 252346061064 in words is "two hundred fifty-two billion, three hundred forty-six million, sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 157 172 258 314 344 471 516 628 942 1032 1039 1256 1499 1884 2078 2998 3117 3768 4156 4497 5996 6234 6751 8312 8994 11992 12468 13502 17988 20253 24936 27004 35976 40506 44677 54008 64457 81012 89354 128914 134031 162024 163123 178708 193371 235343 257828 268062 326246 357416 386742 470686 489369 515656 536124 652492 706029 773484 941372 978738 1072248 1304984 1412058 1546968 1557461 1882744 1957476 2824116 3114922 3914952 4672383 5648232 6229844 7014289 9344766 10119749 12459688 14028578 18689532 20239498 21042867 28057156 30359247 37379064 40478996 42085734 56114312 60718494 66970823 80957992 84171468 121436988 133941646 168342936 200912469 242873976 244521377 267883292 401824938 489042754 535766584 733564131 803649876 978085508 1467128262 1607299752 1956171016 2934256524 5868513048 10514419211 21028838422 31543257633 42057676844 63086515266 84115353688 126173030532 252346061064