Search a number
-
+
263115434752 = 2873103136693
BaseRepresentation
bin1111010100001011100…
…1101110101100000000
3221011010222002222021221
43311002321232230000
513302330022403002
6320512404524424
725003150202602
oct3650271565400
9834128088257
10263115434752
11a164a892525
1242bb09b0714
131ba72349881
14ca40629172
156c9e46dc37
hex3d42e6eb00

263115434752 has 72 divisors (see below), whose sum is σ = 537570479264. Its totient is φ = 128494854144.

The previous prime is 263115434719. The next prime is 263115434761. The reversal of 263115434752 is 257434511362.

It is a junction number, because it is equal to n+sod(n) for n = 263115434699 and 263115434708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1856518 + ... + 1993210.

Almost surely, 2263115434752 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 263115434752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268785239632).

263115434752 is an abundant number, since it is smaller than the sum of its proper divisors (274455044512).

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

263115434752 is a wasteful number, since it uses less digits than its factorization.

263115434752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136885 (or 136871 counting only the distinct ones).

The product of its digits is 604800, while the sum is 43.

The spelling of 263115434752 in words is "two hundred sixty-three billion, one hundred fifteen million, four hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 73 103 128 146 206 256 292 412 584 824 1168 1648 2336 3296 4672 6592 7519 9344 13184 15038 18688 26368 30076 60152 120304 136693 240608 273386 481216 546772 962432 1093544 1924864 2187088 4374176 8748352 9978589 14079379 17496704 19957178 28158758 34993408 39914356 56317516 79828712 112635032 159657424 225270064 319314848 450540128 638629696 901080256 1027794667 1277259392 1802160512 2055589334 2554518784 3604321024 4111178668 8222357336 16444714672 32889429344 65778858688 131557717376 263115434752