Search a number
-
+
256390236576 = 2533296747959
BaseRepresentation
bin1110111011001000001…
…1001000100110100000
3220111210021110111202000
43232302003020212200
513200041400032301
6313441204324000
724344406024045
oct3566203104640
9814707414660
10256390236576
1199809671601
12418346a3600
131b23cc5b276
14c5a33a31cc
156a08d37786
hex3bb20c89a0

256390236576 has 48 divisors (see below), whose sum is σ = 747804859200. Its totient is φ = 85463411904.

The previous prime is 256390236569. The next prime is 256390236581. The reversal of 256390236576 is 675632093652.

256390236576 is a `hidden beast` number, since 2 + 5 + 6 + 39 + 0 + 2 + 36 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2563902365762 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 148373116 + ... + 148374843.

It is an arithmetic number, because the mean of its divisors is an integer number (15579267900).

Almost surely, 2256390236576 is an apocalyptic number.

It is an amenable number.

256390236576 is an abundant number, since it is smaller than the sum of its proper divisors (491414622624).

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

256390236576 is a wasteful number, since it uses less digits than its factorization.

256390236576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296747978 (or 296747964 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 256390236576 in words is "two hundred fifty-six billion, three hundred ninety million, two hundred thirty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 296747959 593495918 890243877 1186991836 1780487754 2373983672 2670731631 3560975508 4747967344 5341463262 7121951016 8012194893 9495934688 10682926524 14243902032 16024389786 21365853048 28487804064 32048779572 42731706096 64097559144 85463412192 128195118288 256390236576