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1054245339280 = 245761293105331
BaseRepresentation
bin11110101011101011110…
…10110100000010010000
310201210012011121011210001
433111311322310002100
5114233043301324110
62124151424215344
7136111116346150
oct17256572640220
93653164534701
101054245339280
11377115012201
121503a076a554
137855172a133
1439050912760
151c653b9463a
hexf575eb4090

1054245339280 has 160 divisors (see below), whose sum is σ = 2856947643648. Its totient is φ = 354313267200.

The previous prime is 1054245339271. The next prime is 1054245339283. The reversal of 1054245339280 is 829335424501.

1054245339280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10542453392802 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054245339280.

It is not an unprimeable number, because it can be changed into a prime (1054245339283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9956215 + ... + 10061545.

Almost surely, 21054245339280 is an apocalyptic number.

1054245339280 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 1054245339280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428473821824).

1054245339280 is an abundant number, since it is smaller than the sum of its proper divisors (1802702304368).

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

1054245339280 is a wasteful number, since it uses less digits than its factorization.

1054245339280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105705 (or 105699 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 1054245339280 in words is "one trillion, fifty-four billion, two hundred forty-five million, three hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 293 305 427 488 560 586 610 854 976 1172 1220 1465 1708 2051 2135 2344 2440 2930 3416 4102 4270 4688 4880 5860 6832 8204 8540 10255 11720 16408 17080 17873 20510 23440 32816 34160 35746 41020 71492 82040 89365 105331 125111 142984 164080 178730 210662 250222 285968 357460 421324 500444 526655 625555 714920 737317 842648 1000888 1053310 1251110 1429840 1474634 1685296 2001776 2106620 2502220 2949268 3686585 4213240 5004440 5898536 6425191 7373170 8426480 10008880 11797072 12850382 14746340 25700764 29492680 30861983 32125955 44976337 51401528 58985360 61723966 64251910 89952674 102803056 123447932 128503820 154309915 179905348 216033881 224881685 246895864 257007640 308619830 359810696 432067762 449763370 493791728 514015280 617239660 719621392 864135524 899526740 1080169405 1234479320 1728271048 1799053480 1882580963 2160338810 2468958640 3456542096 3598106960 3765161926 4320677620 7530323852 8641355240 9412904815 13178066741 15060647704 17282710480 18825809630 26356133482 30121295408 37651619260 52712266964 65890333705 75303238520 105424533928 131780667410 150606477040 210849067856 263561334820 527122669640 1054245339280