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285730651242 = 2323111324118803
BaseRepresentation
bin1000010100001101101…
…11111011110001101010
31000022112001122000010200
410022012313323301222
514140134021314432
6335132435253030
726433446314431
oct4120667736152
91008461560120
10285730651242
111001a555a393
124746274a176
1320c3779448a
14db87d94118
157674ac3a7c
hex4286dfbc6a

285730651242 has 96 divisors (see below), whose sum is σ = 647418410496. Its totient is φ = 90971596800.

The previous prime is 285730651237. The next prime is 285730651259. The reversal of 285730651242 is 242156037582.

285730651242 is a `hidden beast` number, since 2 + 8 + 57 + 306 + 51 + 242 = 666.

It is a super-2 number, since 2×2857306512422 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15186613 + ... + 15205415.

It is an arithmetic number, because the mean of its divisors is an integer number (6743941776).

Almost surely, 2285730651242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285730651242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323709205248).

285730651242 is an abundant number, since it is smaller than the sum of its proper divisors (361687759254).

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

285730651242 is a wasteful number, since it uses less digits than its factorization.

285730651242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19196 (or 19193 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 285730651242 in words is "two hundred eighty-five billion, seven hundred thirty million, six hundred fifty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 113 186 226 241 279 339 482 558 678 723 1017 1446 2034 2169 3503 4338 7006 7471 10509 14942 18803 21018 22413 27233 31527 37606 44826 54466 56409 63054 67239 81699 112818 134478 163398 169227 245097 338454 490194 582893 844223 1165786 1688446 1748679 2124739 2532669 3497358 4249478 4531523 5065338 5246037 6374217 7598007 9063046 10492074 12748434 13594569 15196014 19122651 27189138 38245302 40783707 65866909 81567414 131733818 140477213 197600727 280954426 395201454 421431639 512062099 592802181 842863278 1024124198 1185604362 1264294917 1536186297 2528589834 3072372594 4608558891 9217117782 15873925069 31747850138 47621775207 95243550414 142865325621 285730651242