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7057607408046 = 23213232473530261
BaseRepresentation
bin110011010110011101000…
…1011101011100110101110
3220222200220210110111222200
41212230322023223212232
51411112434444024141
623002115312122330
71325616043104156
oct146547213534656
926880823414880
107057607408046
112281129432688
1295b98a5363a6
133c26b6491a20
141a5839037766
15c38b7d90ab6
hex66b3a2eb9ae

7057607408046 has 96 divisors (see below), whose sum is σ = 17190720735552. Its totient is φ = 2076311508480.

The previous prime is 7057607407937. The next prime is 7057607408083. The reversal of 7057607408046 is 6408047067507.

It is a super-2 number, since 2×70576074080462 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7057607407983 and 7057607408001.

It is a congruent number.

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, 13044556 + ... + 13574816.

It is an arithmetic number, because the mean of its divisors is an integer number (179070007662).

Almost surely, 27057607408046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7057607408046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595360367776).

7057607408046 is an abundant number, since it is smaller than the sum of its proper divisors (10133113327506).

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

7057607408046 is a wasteful number, since it uses less digits than its factorization.

7057607408046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532778 (or 532775 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 7057607408046 in words is "seven trillion, fifty-seven billion, six hundred seven million, four hundred eight thousand, forty-six".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1794 2473 2691 4946 5382 7419 14838 22257 32149 44514 56879 64298 96447 113758 170637 192894 289341 341274 511911 530261 578682 739427 1023822 1060522 1478854 1590783 2218281 3181566 4436562 4772349 6654843 6893393 9544698 12196003 13309686 13786786 20680179 24392006 36588009 41360358 62040537 73176018 109764027 124081074 158548039 219528054 317096078 475644117 951288234 1311335453 1426932351 2622670906 2853864702 3934006359 7868012718 11802019077 17047360889 23604038154 30160715419 34094721778 51142082667 60321430838 90482146257 102284165334 153426248001 180964292514 271446438771 306852496002 392089300447 542892877542 784178600894 1176267901341 2352535802682 3528803704023 7057607408046