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1054342468560 = 243547397235441
BaseRepresentation
bin11110101011110111011…
…01010101001111010000
310201210102221100212002210
433111323231111033100
5114233243132443220
62124205214112120
7136113406053663
oct17257355251720
93653387325083
101054342468560
11377164922937
121504091ab640
13785688a7094
143905d7976da
151c65c47d6e0
hexf57bb553d0

1054342468560 has 160 divisors (see below), whose sum is σ = 3346425672192. Its totient is φ = 274481602560.

The previous prime is 1054342468523. The next prime is 1054342468573. The reversal of 1054342468560 is 658642434501.

It is a super-2 number, since 2×10543424685602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4360440 + ... + 4595880.

Almost surely, 21054342468560 is an apocalyptic number.

1054342468560 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 1054342468560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673212836096).

1054342468560 is an abundant number, since it is smaller than the sum of its proper divisors (2292083203632).

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

1054342468560 is a wasteful number, since it uses less digits than its factorization.

1054342468560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235901 (or 235895 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 1054342468560 in words is "one trillion, fifty-four billion, three hundred forty-two million, four hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 397 470 564 705 752 794 940 1128 1191 1410 1588 1880 1985 2256 2382 2820 3176 3760 3970 4764 5640 5955 6352 7940 9528 11280 11910 15880 18659 19056 23820 31760 37318 47640 55977 74636 93295 95280 111954 149272 186590 223908 235441 279885 298544 373180 447816 470882 559770 706323 746360 895632 941764 1119540 1177205 1412646 1492720 1883528 2239080 2354410 2825292 3531615 3767056 4478160 4708820 5650584 7063230 9417640 11065727 11301168 14126460 18835280 22131454 28252920 33197181 44262908 55328635 56505840 66394362 88525816 93470077 110657270 132788724 165985905 177051632 186940154 221314540 265577448 280410231 331971810 373880308 442629080 467350385 531154896 560820462 663943620 747760616 885258160 934700770 1121640924 1327887240 1402051155 1495521232 1869401540 2243281848 2655774480 2804102310 3738803080 4393093619 4486563696 5608204620 7477606160 8786187238 11216409240 13179280857 17572374476 21965468095 22432818480 26358561714 35144748952 43930936190 52717123428 65896404285 70289497904 87861872380 105434246856 131792808570 175723744760 210868493712 263585617140 351447489520 527171234280 1054342468560