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21131595552 = 2532347203627
BaseRepresentation
bin10011101011100010…
…101000111100100000
32000112200211021112010
4103223202220330200
5321234142024202
613412511232520
71345442412204
oct235342507440
960480737463
1021131595552
118a64264561
124118b18740
131cb9c6b8c2
1410466cab04
1583a29376c
hex4eb8a8f20

21131595552 has 96 divisors (see below), whose sum is σ = 59114022912. Its totient is φ = 6594224384.

The previous prime is 21131595547. The next prime is 21131595559. The reversal of 21131595552 is 25559513112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 21131595552.

It is not an unprimeable number, because it can be changed into a prime (21131595559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1963 + ... + 205589.

It is an arithmetic number, because the mean of its divisors is an integer number (615771072).

Almost surely, 221131595552 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 21131595552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29557011456).

21131595552 is an abundant number, since it is smaller than the sum of its proper divisors (37982427360).

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

21131595552 is a wasteful number, since it uses less digits than its factorization.

21131595552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203710 (or 203702 counting only the distinct ones).

The product of its digits is 67500, while the sum is 39.

It can be divided in two parts, 2113159 and 5552, that added together give a triangular number (2118711 = T2058).

The spelling of 21131595552 in words is "twenty-one billion, one hundred thirty-one million, five hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 69 92 94 96 138 141 184 188 276 282 368 376 552 564 736 752 1081 1104 1128 1504 2162 2208 2256 3243 4324 4512 6486 8648 12972 17296 25944 34592 51888 103776 203627 407254 610881 814508 1221762 1629016 2443524 3258032 4683421 4887048 6516064 9366842 9570469 9774096 14050263 18733684 19140938 19548192 28100526 28711407 37467368 38281876 56201052 57422814 74934736 76563752 112402104 114845628 149869472 153127504 220120787 224804208 229691256 306255008 440241574 449608416 459382512 660362361 880483148 918765024 1320724722 1760966296 2641449444 3521932592 5282898888 7043865184 10565797776 21131595552