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1104878131104 = 253112197482827
BaseRepresentation
bin10000000100111111110…
…111100101011110100000
310220121212212010111121010
4100010333313211132200
5121100242300143404
62203323552500520
7142552624105056
oct20047767453640
93817785114533
101104878131104
113966379a0100
1215a17154a740
1380260607397
143b6952c41d6
151db18d83189
hex1013fde57a0

1104878131104 has 144 divisors (see below), whose sum is σ = 3204127723104. Its totient is φ = 333111313920.

The previous prime is 1104878131103. The next prime is 1104878131151. The reversal of 1104878131104 is 4011318784011.

It is not an unprimeable number, because it can be changed into a prime (1104878131103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2046939 + ... + 2529765.

It is an arithmetic number, because the mean of its divisors is an integer number (22250886966).

Almost surely, 21104878131104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104878131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602063861552).

1104878131104 is an abundant number, since it is smaller than the sum of its proper divisors (2099249592000).

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

1104878131104 is a wasteful number, since it uses less digits than its factorization.

1104878131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483059 (or 483040 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The spelling of 1104878131104 in words is "one trillion, one hundred four billion, eight hundred seventy-eight million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 197 242 264 352 363 394 484 528 591 726 788 968 1056 1182 1452 1576 1936 2167 2364 2904 3152 3872 4334 4728 5808 6304 6501 8668 9456 11616 13002 17336 18912 23837 26004 34672 47674 52008 69344 71511 95348 104016 143022 190696 208032 286044 381392 482827 572088 762784 965654 1144176 1448481 1931308 2288352 2896962 3862616 5311097 5793924 7725232 10622194 11587848 15450464 15933291 21244388 23175696 31866582 42488776 46351392 58422067 63733164 84977552 95116919 116844134 127466328 169955104 175266201 190233838 233688268 254932656 285350757 350532402 380467676 467376536 509865312 570701514 701064804 760935352 934753072 1046286109 1141403028 1402129608 1521870704 1869506144 2092572218 2282806056 2804259216 3043741408 3138858327 4185144436 4565612112 5608518432 6277716654 8370288872 9131224224 11509147199 12555433308 16740577744 23018294398 25110866616 33481155488 34527441597 46036588796 50221733232 69054883194 92073177592 100443466464 138109766388 184146355184 276219532776 368292710368 552439065552 1104878131104