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11104726438960 = 2457115413332191
BaseRepresentation
bin1010000110011000010101…
…0001100101010000110000
31110022121020110220222220221
42201212011101211100300
52423414434432021320
635341235122342424
72224201321214260
oct241460521452060
943277213828827
1011104726438960
1135a1540636610
1212b42064baa14
1362722c1c072b
142a56862077a0
15143cd58103aa
hexa1985465430

11104726438960 has 160 divisors (see below), whose sum is σ = 32248794230784. Its totient is φ = 3454814592000.

The previous prime is 11104726438951. The next prime is 11104726438973. The reversal of 11104726438960 is 6983462740111.

It is a junction number, because it is equal to n+sod(n) for n = 11104726438898 and 11104726438907.

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, 1666465 + ... + 4998655.

Almost surely, 211104726438960 is an apocalyptic number.

11104726438960 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 11104726438960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124397115392).

11104726438960 is an abundant number, since it is smaller than the sum of its proper divisors (21144067791824).

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

11104726438960 is a wasteful number, since it uses less digits than its factorization.

11104726438960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332763 (or 3332757 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 11104726438960 in words is "eleven trillion, one hundred four billion, seven hundred twenty-six million, four hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 541 560 616 770 880 1082 1232 1540 2164 2705 3080 3787 4328 5410 5951 6160 7574 8656 10820 11902 15148 18935 21640 23804 29755 30296 37870 41657 43280 47608 59510 60592 75740 83314 95216 119020 151480 166628 208285 238040 302960 333256 416570 476080 666512 833140 1666280 3332191 3332560 6664382 13328764 16660955 23325337 26657528 33321910 36654101 46650674 53315056 66643820 73308202 93301348 116626685 133287640 146616404 183270505 186602696 233253370 256578707 266575280 293232808 366541010 373205392 466506740 513157414 586465616 733082020 933013480 1026314828 1282893535 1466164040 1802715331 1866026960 2052629656 2565787070 2932328080 3605430662 4105259312 5131574140 7210861324 9013576655 10263148280 12619007317 14421722648 18027153310 19829868641 20526296560 25238014634 28843445296 36054306620 39659737282 50476029268 63095036585 72108613240 79319474564 99149343205 100952058536 126190073170 138809080487 144217226480 158638949128 198298686410 201904117072 252380146340 277618160974 317277898256 396597372820 504760292680 555236321948 694045402435 793194745640 1009520585360 1110472643896 1388090804870 1586389491280 2220945287792 2776181609740 5552363219480 11104726438960