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21154355442 = 2341122951839
BaseRepresentation
bin10011101100111001…
…011101100011110010
32000121021122121020000
4103230321131203302
5321311003333232
613415043130430
71346140024443
oct235471354362
960537577200
1021154355442
118a7609a390
124124673a16
131cc18aa2ac
1410497332ca
1583c28c27c
hex4ece5d8f2

21154355442 has 80 divisors (see below), whose sum is σ = 51937459200. Its totient is φ = 6382294560.

The previous prime is 21154355441. The next prime is 21154355461. The reversal of 21154355442 is 24455345112.

21154355442 is a `hidden beast` number, since 2 + 11 + 54 + 3 + 554 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21154355397 and 21154355406.

It is not an unprimeable number, because it can be changed into a prime (21154355441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 382159 + ... + 433997.

It is an arithmetic number, because the mean of its divisors is an integer number (649218240).

Almost surely, 221154355442 is an apocalyptic number.

21154355442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21154355442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25968729600).

21154355442 is an abundant number, since it is smaller than the sum of its proper divisors (30783103758).

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

21154355442 is a wasteful number, since it uses less digits than its factorization.

21154355442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52093 (or 52084 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 21154355442 in words is "twenty-one billion, one hundred fifty-four million, three hundred fifty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 229 297 458 594 687 891 1374 1782 2061 2519 4122 5038 6183 7557 12366 15114 18549 22671 37098 45342 51839 68013 103678 136026 155517 204039 311034 408078 466551 570229 933102 1140458 1399653 1710687 2799306 3421374 4198959 5132061 8397918 10264122 11871131 15396183 23742262 30792366 35613393 46188549 71226786 92377098 106840179 130582441 213680358 261164882 320520537 391747323 641041074 783494646 961561611 1175241969 1923123222 2350483938 3525725907 7051451814 10577177721 21154355442