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11416243356 = 2234729173573
BaseRepresentation
bin10101010000111011…
…00000110010011100
31002110121200020210000
422220131200302130
5141340024241411
65124453414300
7552622316220
oct125035406234
932417606700
1011416243356
114929198671
12226733a390
1310cc2354ab
147a42a2780
1546c3b0956
hex2a8760c9c

11416243356 has 120 divisors (see below), whose sum is σ = 35284122720. Its totient is φ = 3149290368.

The previous prime is 11416243337. The next prime is 11416243379. The reversal of 11416243356 is 65334261411.

11416243356 is a `hidden beast` number, since 1 + 14 + 162 + 433 + 56 = 666.

It is a super-2 number, since 2×114162433562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11416243356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21015 + ... + 152558.

It is an arithmetic number, because the mean of its divisors is an integer number (294034356).

Almost surely, 211416243356 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 11416243356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17642061360).

11416243356 is an abundant number, since it is smaller than the sum of its proper divisors (23867879364).

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

11416243356 is a wasteful number, since it uses less digits than its factorization.

11416243356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173625 (or 173614 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 11416243356 in words is "eleven billion, four hundred sixteen million, two hundred forty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 252 261 324 348 378 406 522 567 609 756 783 812 1044 1134 1218 1566 1827 2268 2349 2436 3132 3654 4698 5481 7308 9396 10962 16443 21924 32886 65772 173573 347146 520719 694292 1041438 1215011 1562157 2082876 2430022 3124314 3645033 4686471 4860044 5033617 6248628 7290066 9372942 10067234 10935099 14059413 14580132 15100851 18745884 20134468 21870198 28118826 30201702 32805297 35235319 43740396 45302553 56237652 60403404 65610594 70470638 90605106 98415891 105705957 131221188 135907659 140941276 181210212 196831782 211411914 271815318 317117871 393663564 407722977 422823828 543630636 634235742 815445954 951353613 1268471484 1630891908 1902707226 2854060839 3805414452 5708121678 11416243356