Search a number
-
+
1118249918688 = 253721321179957
BaseRepresentation
bin10000010001011100111…
…000111010000011100000
310221220101202111200202010
4100101130320322003200
5121310133434344223
62213414504352520
7143535163322400
oct20213470720340
93856352450663
101118249918688
113a1279a21021
12160883775740
13815b1a20226
143c1a318c800
151e14cc74393
hex1045ce3a0e0

1118249918688 has 144 divisors (see below), whose sum is σ = 3417259893264. Its totient is φ = 319256340480.

The previous prime is 1118249918671. The next prime is 1118249918693. The reversal of 1118249918688 is 8868199428111.

It is a happy number.

It is a super-2 number, since 2×11182499186882 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6124006 + ... + 6303962.

It is an arithmetic number, because the mean of its divisors is an integer number (23730971481).

Almost surely, 21118249918688 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 1118249918688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708629946632).

1118249918688 is an abundant number, since it is smaller than the sum of its proper divisors (2299009974576).

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

1118249918688 is a wasteful number, since it uses less digits than its factorization.

1118249918688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181305 (or 181290 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 66.

The spelling of 1118249918688 in words is "one trillion, one hundred eighteen billion, two hundred forty-nine million, nine hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1321 1568 2352 2642 3963 4704 5284 7926 9247 10568 15852 18494 21136 27741 31704 36988 42272 55482 63408 64729 73976 110964 126816 129458 147952 179957 194187 221928 258916 295904 359914 388374 443856 517832 539871 719828 776748 887712 1035664 1079742 1259699 1439656 1553496 2071328 2159484 2519398 2879312 3106992 3779097 4318968 5038796 5758624 6213984 7558194 8637936 8817893 10077592 15116388 17275872 17635786 20155184 26453679 30232776 35271572 40310368 52907358 60465552 70543144 105814716 120931104 141086288 211629432 237723197 282172576 423258864 475446394 713169591 846517728 950892788 1426339182 1664062379 1901785576 2852678364 3328124758 3803571152 4992187137 5705356728 6656249516 7607142304 9984374274 11410713456 11648436653 13312499032 19968748548 22821426912 23296873306 26624998064 34945309959 39937497096 46593746612 53249996128 69890619918 79874994192 93187493224 139781239836 159749988384 186374986448 279562479672 372749972896 559124959344 1118249918688