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12854301263188 = 22711379330133359
BaseRepresentation
bin1011101100001110000000…
…0011111000010101010100
31200111212012100121211020221
42323003200003320111110
53141101102110410223
643201103503004124
72464456365644140
oct273034003702524
950455170554227
1012854301263188
114106529a52310
1215372bb599644
1372320357b408
14326219a0a220
151745834dab5d
hexbb0e00f8554

12854301263188 has 96 divisors (see below), whose sum is σ = 28129109299200. Its totient is φ = 4993292304000.

The previous prime is 12854301263147. The next prime is 12854301263207. The reversal of 12854301263188 is 88136210345821.

It is a super-2 number, since 2×128543012631882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385315653 + ... + 385349011.

It is an arithmetic number, because the mean of its divisors is an integer number (293011555200).

Almost surely, 212854301263188 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 12854301263188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14064554649600).

12854301263188 is an abundant number, since it is smaller than the sum of its proper divisors (15274808036012).

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

12854301263188 is a wasteful number, since it uses less digits than its factorization.

12854301263188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37061 (or 37059 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 12854301263188 in words is "twelve trillion, eight hundred fifty-four billion, three hundred one million, two hundred sixty-three thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 379 758 1516 2653 3301 4169 5306 6602 8338 10612 13204 16676 23107 29183 33359 36311 46214 58366 66718 72622 92428 116732 133436 145244 233513 254177 366949 467026 508354 733898 934052 1016708 1251079 1467796 2502158 2568643 5004316 5137286 8757553 10274572 12643061 13761869 17515106 25286122 27523738 35030212 50572244 55047476 88501427 96333083 110118059 139073671 177002854 192666166 220236118 278147342 354005708 385332332 440472236 556294684 770826413 973515697 1211298649 1541652826 1947031394 2422597298 3083305652 3894062788 4845194596 8479090543 16958181086 33916362172 41734744361 83469488722 166938977444 292143210527 459082187971 584286421054 918164375942 1168572842108 1836328751884 3213575315797 6427150631594 12854301263188