Search a number
-
+
1133892129678 = 2371153227203999
BaseRepresentation
bin10000100000000001001…
…111001101001110001110
311000101202220002100021220
4100200001033031032032
5122034202341122203
62224523003304210
7144630622035150
oct20400117151616
94011686070256
101133892129678
113a7976601720
1216390a21b066
1382c05623b89
143cc487c6ad0
151e766143653
hex108013cd38e

1133892129678 has 128 divisors (see below), whose sum is σ = 2893418496000. Its totient is φ = 287686139520.

The previous prime is 1133892129647. The next prime is 1133892129703. The reversal of 1133892129678 is 8769212983311.

It is a happy number.

It is a super-2 number, since 2×11338921296782 (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 63 ways as a sum of consecutive naturals, for example, 5456323 + ... + 5660321.

It is an arithmetic number, because the mean of its divisors is an integer number (22604832000).

Almost surely, 21133892129678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133892129678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446709248000).

1133892129678 is an abundant number, since it is smaller than the sum of its proper divisors (1759526366322).

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

1133892129678 is a wasteful number, since it uses less digits than its factorization.

1133892129678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204302.

The product of its digits is 7838208, while the sum is 60.

The spelling of 1133892129678 in words is "one trillion, one hundred thirty-three billion, eight hundred ninety-two million, one hundred twenty-nine thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 154 159 227 231 318 371 454 462 583 681 742 1113 1166 1362 1589 1749 2226 2497 3178 3498 4081 4767 4994 7491 8162 9534 12031 12243 14982 17479 24062 24486 34958 36093 52437 72186 84217 104874 132341 168434 203999 252651 264682 397023 407998 505302 611997 794046 926387 1223994 1427993 1852774 2243989 2779161 2855986 4283979 4487978 5558322 6731967 8567958 10811947 13463934 15707923 21623894 31415846 32435841 46307773 47123769 64871682 75683629 92615546 94247538 118931417 138923319 151367258 227050887 237862834 277846638 324154411 356794251 454101774 509385503 648308822 713588502 832519919 972463233 1018771006 1528156509 1665039838 1944926466 2454311969 2497559757 3056313018 3565698521 4908623938 4995119514 7131397042 7362935907 10697095563 14725871814 17180183783 21394191126 26997431659 34360367566 51540551349 53994863318 80992294977 103081102698 161984589954 188982021613 377964043226 566946064839 1133892129678