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248670445088 = 2513267812
BaseRepresentation
bin1110011110010111101…
…0011101111000100000
3212202212021022110122202
43213211322131320200
513033234113220323
6310123154352332
723652166623242
oct3474572357040
9782767273582
10248670445088
1196507a8aa3a
124023b28b6a8
131a5ac7a6700
14c06ddda092
15670623bd28
hex39e5e9de20

248670445088 has 54 divisors (see below), whose sum is σ = 530204218047. Its totient is φ = 114754049280.

The previous prime is 248670445061. The next prime is 248670445103. The reversal of 248670445088 is 880544076842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 25950632464 + 222719812624 = 161092^2 + 471932^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=352612.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36668258 + ... + 36675038.

Almost surely, 2248670445088 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 248670445088

248670445088 is an abundant number, since it is smaller than the sum of its proper divisors (281533772959).

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

248670445088 is an frugal number, since it uses more digits than its factorization.

248670445088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13598 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 56.

The spelling of 248670445088 in words is "two hundred forty-eight billion, six hundred seventy million, four hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 6781 13562 27124 54248 88153 108496 176306 216992 352612 705224 1145989 1410448 2291978 2820896 4583956 9167912 18335824 36671648 45981961 91963922 183927844 367855688 597765493 735711376 1195530986 1471422752 2391061972 4782123944 7770951409 9564247888 15541902818 19128495776 31083805636 62167611272 124335222544 248670445088