Search a number
-
+
1116431406552 = 2337113209188261
BaseRepresentation
bin10000001111110000011…
…111110101010111011000
310221201201000122201001210
4100033300133311113120
5121242422420002202
62212514223343120
7143442132243630
oct20176037652730
93851630581053
101116431406552
113a0526472a30
12160456751aa0
138138204b047
143c06d8576c0
151e0932b0c6c
hex103f07f55d8

1116431406552 has 128 divisors (see below), whose sum is σ = 3480889075200. Its totient is φ = 289890278400.

The previous prime is 1116431406529. The next prime is 1116431406581. The reversal of 1116431406552 is 2556041346111.

It is a self number, because there is not a number n which added to its sum of digits gives 1116431406552.

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, 5836102 + ... + 6024362.

It is an arithmetic number, because the mean of its divisors is an integer number (27194445900).

Almost surely, 21116431406552 is an apocalyptic number.

1116431406552 is a gapful number since it is divisible by the number (12) 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 1116431406552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740444537600).

1116431406552 is an abundant number, since it is smaller than the sum of its proper divisors (2364457668648).

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

1116431406552 is a wasteful number, since it uses less digits than its factorization.

1116431406552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191497 (or 191493 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 1116431406552 in words is "one trillion, one hundred sixteen billion, four hundred thirty-one million, four hundred six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 3209 6418 9627 12836 19254 22463 25672 35299 38508 44926 67389 70598 77016 89852 105897 134778 141196 179704 188261 211794 247093 269556 282392 376522 423588 494186 539112 564783 741279 753044 847176 988372 1129566 1317827 1482558 1506088 1976744 2070871 2259132 2635654 2965116 3953481 4141742 4518264 5271308 5930232 6212613 7906962 8283484 10542616 12425226 14496097 15813924 16566968 24850452 28992194 31627848 43488291 49700904 57984388 86976582 115968776 173953164 347906328 604129549 1208259098 1812388647 2416518196 3624777294 4228906843 4833036392 6645425039 7249554588 8457813686 12686720529 13290850078 14499109176 16915627372 19936275117 25373441058 26581700156 33831254744 39872550234 46517975273 50746882116 53163400312 79745100468 93035950546 101493764232 139553925819 159490200936 186071901092 279107851638 372143802184 558215703276 1116431406552