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208446260264 = 23114382966449
BaseRepresentation
bin1100001000100001011…
…1011000010000101000
3201221000222102011101122
43002020113120100220
511403344220312024
6235431530434412
721026330656334
oct3021027302050
9657028364348
10208446260264
1180446530590
1234494292a08
131686c14ca08
14a135b527c4
15564ec1ed5e
hex30885d8428

208446260264 has 64 divisors (see below), whose sum is σ = 436815720000. Its totient is φ = 92431825920.

The previous prime is 208446260251. The next prime is 208446260293. The reversal of 208446260264 is 462062644802.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3103712 + ... + 3170160.

It is an arithmetic number, because the mean of its divisors is an integer number (6825245625).

Almost surely, 2208446260264 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 208446260264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218407860000).

208446260264 is an abundant number, since it is smaller than the sum of its proper divisors (228369459736).

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

208446260264 is a wasteful number, since it uses less digits than its factorization.

208446260264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67338 (or 67334 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 44.

The spelling of 208446260264 in words is "two hundred eight billion, four hundred forty-six million, two hundred sixty thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 829 946 1658 1892 3316 3784 6632 9119 18238 35647 36476 66449 71294 72952 132898 142588 265796 285176 392117 531592 730939 784234 1461878 1568468 2857307 2923756 3136936 5714614 5847512 11429228 22858456 31430377 55086221 62860754 110172442 125721508 220344884 251443016 440689768 605948431 1211896862 2368707503 2423793724 4737415006 4847587448 9474830012 18949660024 26055782533 52111565066 104223130132 208446260264