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21424051152 = 2433710964997
BaseRepresentation
bin10011111100111110…
…010001001111010000
32001022002010120012000
4103330332101033100
5322334024114102
613501515434000
71355623300350
oct237476211720
961262116160
1021424051152
1190a43557a9
12419aa55900
13203572775a
141073498b60
15855cb201c
hex4fcf913d0

21424051152 has 160 divisors (see below), whose sum is σ = 70925817600. Its totient is φ = 6064906752.

The previous prime is 21424051147. The next prime is 21424051157. The reversal of 21424051152 is 25115042412.

It is a happy number.

21424051152 is a `hidden beast` number, since 2 + 142 + 4 + 0 + 511 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21424051147) and next prime (21424051157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21424051157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297118 + ... + 362114.

It is an arithmetic number, because the mean of its divisors is an integer number (443286360).

Almost surely, 221424051152 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 21424051152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35462908800).

21424051152 is an abundant number, since it is smaller than the sum of its proper divisors (49501766448).

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

21424051152 is a wasteful number, since it uses less digits than its factorization.

21424051152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65130 (or 65118 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 21424051152 its reverse (25115042412), we get a palindrome (46539093564).

The spelling of 21424051152 in words is "twenty-one billion, four hundred twenty-four million, fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 109 112 126 144 168 189 216 218 252 327 336 378 432 436 504 654 756 763 872 981 1008 1308 1512 1526 1744 1962 2289 2616 2943 3024 3052 3924 4578 5232 5886 6104 6867 7848 9156 11772 12208 13734 15696 18312 20601 23544 27468 36624 41202 47088 54936 64997 82404 109872 129994 164808 194991 259988 329616 389982 454979 519976 584973 779964 909958 1039952 1169946 1364937 1559928 1754919 1819916 2339892 2729874 3119856 3509838 3639832 4094811 4679784 5459748 7019676 7084673 7279664 8189622 9359568 10919496 12284433 14039352 14169346 16379244 21254019 21838992 24568866 28078704 28338692 32758488 42508038 49137732 49592711 56677384 63762057 65516976 85016076 98275464 99185422 113354768 127524114 148778133 170032152 191286171 196550928 198370844 255048228 297556266 340064304 382572342 396741688 446334399 510096456 595112532 765144684 793483376 892668798 1020192912 1190225064 1339003197 1530289368 1785337596 2380450128 2678006394 3060578736 3570675192 5356012788 7141350384 10712025576 21424051152