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21255211152 = 2432767731147
BaseRepresentation
bin10011110010111010…
…001100100010010000
32000212022102121020200
4103302322030202100
5322012313224102
613433044535200
71351503212430
oct236272144220
960768377220
1021255211152
11901801580a
1241523b1500
132009760426
141058ca82c0
1584606051c
hex4f2e8c890

21255211152 has 120 divisors (see below), whose sum is σ = 68085541056. Its totient is φ = 6063752448.

The previous prime is 21255211151. The next prime is 21255211157. The reversal of 21255211152 is 25111255212.

21255211152 is a `hidden beast` number, since 2 + 1 + 25 + 521 + 115 + 2 = 666.

It is a super-2 number, since 2×212552111522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21255211151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666843 + ... + 697989.

Almost surely, 221255211152 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 21255211152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34042770528).

21255211152 is an abundant number, since it is smaller than the sum of its proper divisors (46830329904).

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

21255211152 is a wasteful number, since it uses less digits than its factorization.

21255211152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31845 (or 31836 counting only the distinct ones).

The product of its digits is 2000, while the sum is 27.

Adding to 21255211152 its reverse (25111255212), we get a palindrome (46366466364).

The spelling of 21255211152 in words is "twenty-one billion, two hundred fifty-five million, two hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 677 1008 1354 2031 2708 4062 4739 5416 6093 8124 9478 10832 12186 14217 16248 18956 24372 28434 31147 32496 37912 42651 48744 56868 62294 75824 85302 93441 97488 113736 124588 170604 186882 218029 227472 249176 280323 341208 373764 436058 498352 560646 654087 682416 747528 872116 1121292 1308174 1495056 1744232 1962261 2242584 2616348 3488464 3924522 4485168 5232696 7849044 10465392 15698088 21086519 31396176 42173038 63259557 84346076 126519114 147605633 168692152 189778671 253038228 295211266 337384304 379557342 442816899 506076456 590422532 759114684 885633798 1012152912 1180845064 1328450697 1518229368 1771267596 2361690128 2656901394 3036458736 3542535192 5313802788 7085070384 10627605576 21255211152