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256112226304 = 2121116193511
BaseRepresentation
bin1110111010000101111…
…0100111000000000000
3220111001220100010100021
43232201132213000000
513144004212220204
6313353433503224
724334462001344
oct3564136470000
9814056303307
10256112226304
1199686747350
1241777571b14
131b1c748c44c
14c5784b5624
1569de71e154
hex3ba17a7000

256112226304 has 104 divisors (see below), whose sum is σ = 559226436480. Its totient is φ = 116309606400.

The previous prime is 256112226277. The next prime is 256112226323. The reversal of 256112226304 is 403622211652.

It is a self number, because there is not a number n which added to its sum of digits gives 256112226304.

It is a congruent number.

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, 72943909 + ... + 72947419.

Almost surely, 2256112226304 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 256112226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279613218240).

256112226304 is an abundant number, since it is smaller than the sum of its proper divisors (303114210176).

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

256112226304 is a wasteful number, since it uses less digits than its factorization.

256112226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 256112226304 its reverse (403622211652), we get a palindrome (659734437956).

The spelling of 256112226304 in words is "two hundred fifty-six billion, one hundred twelve million, two hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 1619 2048 2816 3238 3511 4096 5632 6476 7022 11264 12952 14044 17809 22528 25904 28088 35618 38621 45056 51808 56176 71236 77242 103616 112352 142472 154484 207232 224704 284944 308968 414464 449408 569888 617936 828928 898816 1139776 1235872 1657856 1797632 2279552 2471744 3315712 3595264 4559104 4943488 5684309 6631424 7190528 9118208 9886976 11368618 14381056 18236416 19773952 22737236 36472832 39547904 45474472 62527399 72945664 79095808 90948944 125054798 158191616 181897888 250109596 363795776 500219192 727591552 1000438384 1455183104 2000876768 2910366208 4001753536 5820732416 8003507072 11641464832 16007014144 23282929664 32014028288 64028056576 128056113152 256112226304