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21315241152 = 263319363913
BaseRepresentation
bin10011110110011111…
…001100010011000000
32001000111101102221000
4103312133030103000
5322123200204102
613443031332000
71353132363132
oct236637142300
961014342830
1021315241152
119048997187
12416a521000
13201901ac3a
141062c53052
1584b46c01c
hex4f67cc4c0

21315241152 has 112 divisors (see below), whose sum is σ = 62988525280. Its totient is φ = 7068155904.

The previous prime is 21315241147. The next prime is 21315241177. The reversal of 21315241152 is 25114251312.

It is a happy number.

21315241152 is a `hidden beast` number, since 2 + 131 + 524 + 1 + 1 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301548 + ... + 365460.

Almost surely, 221315241152 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 21315241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31494262640).

21315241152 is an abundant number, since it is smaller than the sum of its proper divisors (41673284128).

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

21315241152 is a wasteful number, since it uses less digits than its factorization.

21315241152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64127 (or 64111 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Adding to 21315241152 its reverse (25114251312), we get a palindrome (46429492464).

The spelling of 21315241152 in words is "twenty-one billion, three hundred fifteen million, two hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 193 216 288 386 432 576 579 772 864 1158 1544 1728 1737 2316 3088 3474 4632 5211 6176 6948 9264 10422 12352 13896 18528 20844 27792 37056 41688 55584 63913 83376 111168 127826 166752 191739 255652 333504 383478 511304 575217 766956 1022608 1150434 1533912 1725651 2045216 2300868 3067824 3451302 4090432 4601736 6135648 6902604 9203472 12271296 12335209 13805208 18406944 24670418 27610416 36813888 37005627 49340836 55220832 74011254 98681672 110441664 111016881 148022508 197363344 222033762 296045016 333050643 394726688 444067524 592090032 666101286 789453376 888135048 1184180064 1332202572 1776270096 2368360128 2664405144 3552540192 5328810288 7105080384 10657620576 21315241152