Search a number
-
+
248012386496 = 2677319339293
BaseRepresentation
bin1110011011111010110…
…0001011000011000000
3212201011102001121222022
43212332230023003000
513030412132331441
6305534010101012
723626656334130
oct3467654130300
9781142047868
10248012386496
11961aa587866
1240096a1a768
131a506360724
14c00a85cac0
1566b85a184b
hex39beb0b0c0

248012386496 has 112 divisors (see below), whose sum is σ = 573130338624. Its totient is φ = 104289140736.

The previous prime is 248012386459. The next prime is 248012386507. The reversal of 248012386496 is 694683210842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 6292226 + ... + 6331518.

Almost surely, 2248012386496 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 248012386496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286565169312).

248012386496 is an abundant number, since it is smaller than the sum of its proper divisors (325117952128).

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

248012386496 is a wasteful number, since it uses less digits than its factorization.

248012386496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39578 (or 39568 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 248012386496 in words is "two hundred forty-eight billion, twelve million, three hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 193 224 292 386 448 511 584 772 1022 1168 1351 1544 2044 2336 2702 3088 4088 4672 5404 6176 8176 10808 12352 14089 16352 21616 28178 32704 39293 43232 56356 78586 86464 98623 112712 157172 197246 225424 275051 314344 394492 450848 550102 628688 788984 901696 1100204 1257376 1577968 2200408 2514752 2868389 3155936 4400816 5736778 6311872 7583549 8801632 11473556 15167098 17603264 20078723 22947112 30334196 40157446 45894224 53084843 60668392 80314892 91788448 106169686 121336784 160629784 183576896 212339372 242673568 321259568 424678744 485347136 553599077 642519136 849357488 1107198154 1285038272 1698714976 2214396308 3397429952 3875193539 4428792616 7750387078 8857585232 15500774156 17715170464 31001548312 35430340928 62003096624 124006193248 248012386496