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1027544991408 = 2433131710762789
BaseRepresentation
bin11101111001111100111…
…01000100011010110000
310122020021101011222012000
432330332131010122300
5113313403004211113
62104014143134000
7134144344213305
oct16747635043260
93566241158160
101027544991408
113668633a5701
1214718a8a4300
1375b87b54c20
1437a3a7d30ac
151badeaa0373
hexef3e7446b0

1027544991408 has 160 divisors (see below), whose sum is σ = 3363156619200. Its totient is φ = 297569562624.

The previous prime is 1027544991397. The next prime is 1027544991427. The reversal of 1027544991408 is 8041994457201.

1027544991408 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 5 + 4 + 499 + 140 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5285923 + ... + 5476866.

It is an arithmetic number, because the mean of its divisors is an integer number (21019728870).

Almost surely, 21027544991408 is an apocalyptic number.

1027544991408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1027544991408 is an abundant number, since it is smaller than the sum of its proper divisors (2335611627792).

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

1027544991408 is a wasteful number, since it uses less digits than its factorization.

1027544991408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10762836 (or 10762824 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1027544991408 in words is "one trillion, twenty-seven billion, five hundred forty-four million, nine hundred ninety-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 102 104 108 117 136 144 153 156 204 208 216 221 234 272 306 312 351 408 432 442 459 468 612 624 663 702 816 884 918 936 1224 1326 1404 1768 1836 1872 1989 2448 2652 2808 3536 3672 3978 5304 5616 5967 7344 7956 10608 11934 15912 23868 31824 47736 95472 10762789 21525578 32288367 43051156 64576734 86102312 96865101 129153468 139916257 172204624 182967413 193730202 258306936 279832514 290595303 365934826 387460404 419748771 516613872 548902239 559665028 581190606 731869652 774920808 839497542 1097804478 1119330056 1162381212 1259246313 1463739304 1549841616 1646706717 1678995084 2195608956 2238660112 2324762424 2378576369 2518492626 2927478608 3293413434 3357990168 3777738939 4391217912 4649524848 4757152738 4940120151 5036985252 6586826868 6715980336 7135729107 7555477878 8782435824 9514305476 9880240302 10073970504 13173653736 14271458214 15110955756 19028610952 19760480604 20147941008 21407187321 26347307472 28542916428 30221911512 38057221904 39520961208 42814374642 57085832856 60443823024 64221561963 79041922416 85628749284 114171665712 128443123926 171257498568 256886247852 342514997136 513772495704 1027544991408