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1054551454520 = 2352312767313411
BaseRepresentation
bin11110101100010000010…
…10100011001100111000
310201210222111121102221112
433112020022203030320
5114234210133021040
62124242041255452
7136121524315334
oct17261012431470
93653874542845
101054551454520
11377261893103
12150467194588
137859cc89505
143907d4387c4
151c6709b0365
hexf5882a3338

1054551454520 has 128 divisors (see below), whose sum is σ = 2499292938240. Its totient is φ = 399678935040.

The previous prime is 1054551454519. The next prime is 1054551454549. The reversal of 1054551454520 is 254541554501.

It is a super-2 number, since 2×10545514545202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 78626615 + ... + 78640025.

It is an arithmetic number, because the mean of its divisors is an integer number (19525726080).

Almost surely, 21054551454520 is an apocalyptic number.

1054551454520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054551454520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249646469120).

1054551454520 is an abundant number, since it is smaller than the sum of its proper divisors (1444741483720).

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

1054551454520 is a wasteful number, since it uses less digits than its factorization.

1054551454520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14245 (or 14241 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 41.

The spelling of 1054551454520 in words is "one trillion, fifty-four billion, five hundred fifty-one million, four hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 127 184 230 254 460 508 635 673 920 1016 1270 1346 2540 2692 2921 3365 5080 5384 5842 6730 11684 13411 13460 14605 15479 23368 26822 26920 29210 30958 53644 58420 61916 67055 77395 85471 107288 116840 123832 134110 154790 170942 268220 308453 309580 341884 427355 536440 616906 619160 683768 854710 1233812 1542265 1703197 1709420 1965833 2467624 3084530 3406394 3418840 3931666 6169060 6812788 7863332 8515985 9025603 9829165 12338120 13625576 15726664 17031970 18051206 19658330 34063940 36102412 39173531 39316660 45128015 68127880 72204824 78347062 78633320 90256030 156694124 180512060 195867655 207588869 313388248 361024120 391735310 415177738 783470620 830355476 1037944345 1146251581 1566941240 1660710952 2075888690 2292503162 4151777380 4585006324 5731257905 8303554760 9170012648 11462515810 22925031620 26363786363 45850063240 52727572726 105455145452 131818931815 210910290904 263637863630 527275727260 1054551454520