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285207266304 = 2103255632
BaseRepresentation
bin1000010011001111010…
…11011000010000000000
31000021011120210021222100
410021213223120100000
514133101030010204
6335004501310400
726414462523012
oct4114753302000
91007146707870
10285207266304
11aaa57080554
1247337405400
1320b8321234c
14db386721b2
157643b8ba39
hex4267ad8400

285207266304 has 99 divisors (see below), whose sum is σ = 823677855663. Its totient is φ = 95051999232.

The previous prime is 285207266287. The next prime is 285207266341. The reversal of 285207266304 is 403662702582.

The square root of 285207266304 is 534048.

It is a perfect power (a square), and thus also a powerful number.

285207266304 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 0 + 7 + 2 + 6 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 285207266304.

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, 51265827 + ... + 51271389.

Almost surely, 2285207266304 is an apocalyptic number.

285207266304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

285207266304 is the 534048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285207266304

285207266304 is an abundant number, since it is smaller than the sum of its proper divisors (538470589359).

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

285207266304 is an frugal number, since it uses more digits than its factorization.

285207266304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11152 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Adding to 285207266304 its reverse (403662702582), we get a palindrome (688869968886).

The spelling of 285207266304 in words is "two hundred eighty-five billion, two hundred seven million, two hundred sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 5563 9216 11126 16689 22252 33378 44504 50067 66756 89008 100134 133512 178016 200268 267024 356032 400536 534048 712064 801072 1068096 1424128 1602144 2136192 2848256 3204288 4272384 5696512 6408576 8544768 12817152 17089536 25634304 30946969 51268608 61893938 92840907 123787876 185681814 247575752 278522721 371363628 495151504 557045442 742727256 990303008 1114090884 1485454512 1980606016 2228181768 2970909024 3961212032 4456363536 5941818048 7922424064 8912727072 11883636096 15844848128 17825454144 23767272192 31689696256 35650908288 47534544384 71301816576 95069088768 142603633152 285207266304