Search a number
-
+
1109817917688 = 233194379716459
BaseRepresentation
bin10000001001100110010…
…011011000000011111000
310221002122010012122212210
4100021212103120003320
5121140401341331223
62205502053335120
7143116215436164
oct20114623300370
93832563178783
101109817917688
11398742310957
1215b10b9374a0
1380869b42b1c
143ba0338dca4
151dd07893893
hex102664d80f8

1109817917688 has 128 divisors (see below), whose sum is σ = 3026327040000. Its totient is φ = 337984762752.

The previous prime is 1109817917641. The next prime is 1109817917743. The reversal of 1109817917688 is 8867197189011.

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, 1190803 + ... + 1907261.

It is an arithmetic number, because the mean of its divisors is an integer number (23643180000).

Almost surely, 21109817917688 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 1109817917688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513163520000).

1109817917688 is an abundant number, since it is smaller than the sum of its proper divisors (1916509122312).

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

1109817917688 is a wasteful number, since it uses less digits than its factorization.

1109817917688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716609 (or 716605 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 66.

The spelling of 1109817917688 in words is "one trillion, one hundred nine billion, eight hundred seventeen million, nine hundred seventeen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 79 86 114 129 152 158 172 228 237 258 316 344 456 474 516 632 817 948 1032 1501 1634 1896 2451 3002 3268 3397 4503 4902 6004 6536 6794 9006 9804 10191 12008 13588 18012 19608 20382 27176 36024 40764 64543 81528 129086 193629 258172 387258 516344 716459 774516 1432918 1549032 2149377 2865836 4298754 5731672 8597508 13612721 17195016 27225442 30807737 40838163 54450884 56600261 61615474 81676326 92423211 108901768 113200522 123230948 163352652 169800783 184846422 226401044 246461896 326705304 339601566 369692844 452802088 585347003 679203132 739385688 1075404959 1170694006 1358406264 1756041009 2150809918 2341388012 2433811223 3226214877 3512082018 4301619836 4682776024 4867622446 6452429754 7024164036 7301433669 8603239672 9735244892 12904859508 14048328072 14602867338 19470489784 25809719016 29205734676 46242413237 58411469352 92484826474 138727239711 184969652948 277454479422 369939305896 554908958844 1109817917688