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255243360320 = 2651397762801
BaseRepresentation
bin1110110110110110110…
…0001001100001000000
3220101211100102011021122
43231231230021201000
513140214300012240
6313131315011412
724304111523354
oct3555554114100
9811740364248
10255243360320
119928024a493
1241574599b68
131b0b9476c70
14c4d4d41464
15698d2e24b5
hex3b6db09840

255243360320 has 112 divisors (see below), whose sum is σ = 655232357808. Its totient is φ = 94145740800.

The previous prime is 255243360319. The next prime is 255243360341. The reversal of 255243360320 is 23063342552.

It can be written as a sum of positive squares in 8 ways, for example, as 16349202496 + 238894157824 = 127864^2 + 488768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4032920 + ... + 4095720.

It is an arithmetic number, because the mean of its divisors is an integer number (5850288909).

Almost surely, 2255243360320 is an apocalyptic number.

255243360320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255243360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327616178904).

255243360320 is an abundant number, since it is smaller than the sum of its proper divisors (399988997488).

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

255243360320 is a wasteful number, since it uses less digits than its factorization.

255243360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63808 (or 63798 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

The spelling of 255243360320 in words is "two hundred fifty-five billion, two hundred forty-three million, three hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 977 1040 1954 2080 3908 4160 4885 7816 9770 12701 15632 19540 25402 31264 39080 50804 62528 62801 63505 78160 101608 125602 127010 156320 203216 251204 254020 312640 314005 406432 502408 508040 628010 812864 816413 1004816 1016080 1256020 1632826 2009632 2032160 2512040 3265652 4019264 4064320 4082065 5024080 6531304 8164130 10048160 13062608 16328260 20096320 26125216 32656520 52250432 61356577 65313040 122713154 130626080 245426308 261252160 306782885 490852616 613565770 797635501 981705232 1227131540 1595271002 1963410464 2454263080 3190542004 3926820928 3988177505 4908526160 6381084008 7976355010 9817052320 12762168016 15952710020 19634104640 25524336032 31905420040 51048672064 63810840080 127621680160 255243360320