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1307852045556 = 223717289605329
BaseRepresentation
bin10011000010000010000…
…011100111110011110100
311122000210110100200210020
4103002002003213303310
5132411440110424211
62440452520125140
7163326535651440
oct23020203476364
94560713320706
101307852045556
11464725425241
121915790067b0
1396439aa6744
144742c33b820
1524048447306
hex130820e7cf4

1307852045556 has 144 divisors (see below), whose sum is σ = 3746460009600. Its totient is φ = 347739144192.

The previous prime is 1307852045551. The next prime is 1307852045569. The reversal of 1307852045556 is 6555402587031.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 1307852045499 and 1307852045508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307852045551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1857900 + ... + 2463228.

It is an arithmetic number, because the mean of its divisors is an integer number (26017083400).

Almost surely, 21307852045556 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 1307852045556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873230004800).

1307852045556 is an abundant number, since it is smaller than the sum of its proper divisors (2438607964044).

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

1307852045556 is a wasteful number, since it uses less digits than its factorization.

1307852045556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605466 (or 605447 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 51.

The spelling of 1307852045556 in words is "one trillion, three hundred seven billion, eight hundred fifty-two million, forty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 89 102 119 178 204 238 267 289 356 357 476 534 578 623 714 867 1068 1156 1246 1428 1513 1734 1869 2023 2492 3026 3468 3738 4046 4539 6052 6069 7476 8092 9078 10591 12138 18156 21182 24276 25721 31773 42364 51442 63546 77163 102884 127092 154326 180047 308652 360094 540141 605329 720188 1080282 1210658 1815987 2160564 2421316 3631974 4237303 7263948 8474606 10290593 12711909 16949212 20581186 25423818 30871779 41162372 50847636 53874281 61743558 72034151 107748562 123487116 144068302 161622843 174940081 215497124 216102453 288136604 323245686 349880162 377119967 432204906 524820243 646491372 699760324 754239934 864409812 915862777 1049640486 1131359901 1224580567 1508479868 1831725554 2099280972 2262719802 2449161134 2747588331 3663451108 3673741701 4525439604 4898322268 5495176662 6411039439 7347483402 10990353324 12822078878 14694966804 15569667209 19233118317 25644157756 31139334418 38466236634 46709001627 62278668836 76932473268 93418003254 108987670463 186836006508 217975340926 326963011389 435950681852 653926022778 1307852045556