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53318832021 = 327213671271093
BaseRepresentation
bin110001101010000011…
…001100111110010101
312002121212210022021100
4301222003030332111
51333144110111041
640254435340313
73565201410600
oct615203147625
9162555708240
1053318832021
11206810aa734
12a400451699
135049516960
14281b40d337
1515c0e176b6
hexc6a0ccf95

53318832021 has 144 divisors (see below), whose sum is σ = 98783053824. Its totient is φ = 27461161728.

The previous prime is 53318831999. The next prime is 53318832029. The reversal of 53318832021 is 12023881335.

It is a happy number.

53318832021 is a `hidden beast` number, since 533 + 1 + 8 + 83 + 20 + 21 = 666.

53318832021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53318832021 - 26 = 53318831957 is a prime.

It is a super-2 number, since 2×533188320212 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53318832029) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48781551 + ... + 48782643.

Almost surely, 253318832021 is an apocalyptic number.

It is an amenable number.

53318832021 is a deficient number, since it is larger than the sum of its proper divisors (45464221803).

53318832021 is a wasteful number, since it uses less digits than its factorization.

53318832021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 53318832021 in words is "fifty-three billion, three hundred eighteen million, eight hundred thirty-two thousand, twenty-one".

Divisors: 1 3 7 9 13 21 39 49 63 67 91 117 127 147 201 273 381 441 469 603 637 819 871 889 1093 1143 1407 1651 1911 2613 2667 3279 3283 4221 4953 5733 6097 6223 7651 7839 8001 8509 9837 9849 11557 14209 14859 18291 18669 22953 25527 29547 34671 42627 42679 53557 54873 56007 59563 68859 73231 76581 80899 99463 104013 110617 127881 128037 138811 160671 178689 219693 242697 298389 331851 384111 416433 416941 482013 512617 536067 659079 696241 728091 774319 895167 952003 971677 995553 1249299 1250823 1537851 1804543 2088723 2322957 2856009 2915031 3588319 3752469 4613553 5413629 5420233 6266169 6664021 6801739 6968871 8568027 8745093 9300337 10764957 12631801 16240887 16260699 19992063 20405217 27901011 32294871 37895403 46648147 48782097 59976189 61215651 65102359 83703033 88422607 113686209 120904381 139944441 195307077 265267821 362713143 419833323 455716513 585921231 795803463 846330667 1088139429 1367149539 2538992001 4101448617 5924314669 7616976003 17772944007 53318832021