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256602081152 = 2723173503821
BaseRepresentation
bin1110111011111010101…
…1010000011110000000
3220112100001002022212102
43232332223100132000
513201010113044102
6313514213045532
724352560462524
oct3567653203600
9815301068772
10256602081152
119990820456a
12418936268a8
131b274b018a1
14c5c3589d84
156a1c731402
hex3bbead0780

256602081152 has 64 divisors (see below), whose sum is σ = 536509971360. Its totient is φ = 122013112320.

The previous prime is 256602081121. The next prime is 256602081157. The reversal of 256602081152 is 251180206652.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256602081157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257402 + ... + 761222.

Almost surely, 2256602081152 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 256602081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268254985680).

256602081152 is an abundant number, since it is smaller than the sum of its proper divisors (279907890208).

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

256602081152 is a wasteful number, since it uses less digits than its factorization.

256602081152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504031 (or 504019 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 256602081152 in words is "two hundred fifty-six billion, six hundred two million, eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 173 184 346 368 692 736 1384 1472 2768 2944 3979 5536 7958 11072 15916 22144 31832 63664 127328 254656 503821 509312 1007642 2015284 4030568 8061136 11587883 16122272 23175766 32244544 46351532 64489088 87161033 92703064 174322066 185406128 348644132 370812256 697288264 741624512 1394576528 1483249024 2004703759 2789153056 4009407518 5578306112 8018815036 11156612224 16037630072 32075260144 64150520288 128301040576 256602081152