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481274123883816 = 233237112279907223
BaseRepresentation
bin110110101101101110101110…
…1001100011001010100101000
32100010001100122011222200201110
41231123131131030121110220
51001040143401203240231
64423330140312150320
7203241623305300404
oct15533353514312450
92303040564880643
10481274123883816
1112a39223416193a
1245b8a1963983a0
1317870c555ba643
1486bbb12d00104
153a9909ee0a046
hex1b5b75d319528

481274123883816 has 64 divisors (see below), whose sum is σ = 1273180780984320. Its totient is φ = 151288456975040.

The previous prime is 481274123883811. The next prime is 481274123883857. The reversal of 481274123883816 is 618388321472184.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (481274123883811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6139914420 + ... + 6139992803.

It is an arithmetic number, because the mean of its divisors is an integer number (19893449702880).

Almost surely, 2481274123883816 is an apocalyptic number.

481274123883816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

481274123883816 is an abundant number, since it is smaller than the sum of its proper divisors (791906657100504).

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

481274123883816 is a wasteful number, since it uses less digits than its factorization.

481274123883816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12279907326 (or 12279907322 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 66.

The spelling of 481274123883816 in words is "four hundred eighty-one trillion, two hundred seventy-four billion, one hundred twenty-three million, eight hundred eighty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 71 92 138 142 184 213 276 284 426 552 568 852 1633 1704 3266 4899 6532 9798 13064 19596 39192 12279907223 24559814446 36839721669 49119628892 73679443338 98239257784 147358886676 282437866129 294717773352 564875732258 847313598387 871873412833 1129751464516 1694627196774 1743746825666 2259502929032 2615620238499 3389254393548 3487493651332 5231240476998 6778508787096 6974987302664 10462480953996 20053088495159 20924961907992 40106176990318 60159265485477 80212353980636 120318530970954 160424707961272 240637061941908 481274123883816