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10477074671440 = 2451313277591643
BaseRepresentation
bin1001100001110110001001…
…0100000110011101010000
31101002121011100101121102221
42120131202110012131100
52333124022103441230
634141033542550424
72130641451215236
oct230354224063520
941077140347387
1010477074671440
11337a336573893
12121263b138414
135acca3830010
14283143740956
151327ed0b627a
hex98762506750

10477074671440 has 80 divisors (see below), whose sum is σ = 26252755216128. Its totient is φ = 3865542640128.

The previous prime is 10477074671407. The next prime is 10477074671443. The reversal of 10477074671440 is 4417647077401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10477074671443) 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, 2415742 + ... + 5175901.

Almost surely, 210477074671440 is an apocalyptic number.

10477074671440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10477074671440 is an abundant number, since it is smaller than the sum of its proper divisors (15775680544688).

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

10477074671440 is a wasteful number, since it uses less digits than its factorization.

10477074671440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7592996 (or 7592990 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 52.

The spelling of 10477074671440 in words is "ten trillion, four hundred seventy-seven billion, seventy-four million, six hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1327 2654 5308 6635 10616 13270 17251 21232 26540 34502 53080 69004 86255 106160 138008 172510 276016 345020 690040 1380080 7591643 15183286 30366572 37958215 60733144 75916430 98691359 121466288 151832860 197382718 303665720 394765436 493456795 607331440 789530872 986913590 1579061744 1973827180 3947654360 7895308720 10074110261 20148220522 40296441044 50370551305 80592882088 100741102610 130963433393 161185764176 201482205220 261926866786 402964410440 523853733572 654817166965 805928820880 1047707467144 1309634333930 2095414934288 2619268667860 5238537335720 10477074671440