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53320819167 = 32721123832609
BaseRepresentation
bin110001101010001010…
…110010000111011111
312002122000112021010100
4301222022302013133
51333200112203132
640254550112143
73565224325200
oct615212620737
9162560467110
1053320819167
1120682237700
12a40104b653
135049a61295
14281b7a95a7
1515c11ab37c
hexc6a2b21df

53320819167 has 108 divisors (see below), whose sum is σ = 98773758720. Its totient is φ = 27616216320.

The previous prime is 53320819147. The next prime is 53320819207. The reversal of 53320819167 is 76191802335.

53320819167 is a `hidden beast` number, since 533 + 20 + 8 + 1 + 91 + 6 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-53320819167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53320819147) 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 107 ways as a sum of consecutive naturals, for example, 20435959 + ... + 20438567.

It is an arithmetic number, because the mean of its divisors is an integer number (914571840).

Almost surely, 253320819167 is an apocalyptic number.

53320819167 is a deficient number, since it is larger than the sum of its proper divisors (45452939553).

53320819167 is a wasteful number, since it uses less digits than its factorization.

53320819167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 53320819167 in words is "fifty-three billion, three hundred twenty million, eight hundred nineteen thousand, one hundred sixty-seven".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 383 441 539 693 847 1089 1149 1617 2541 2609 2681 3447 4213 4851 5929 7623 7827 8043 12639 17787 18263 18767 23481 24129 28699 29491 37917 46343 53361 54789 56301 86097 88473 127841 139029 164367 168903 200893 206437 258291 265419 315689 324401 383523 417087 602679 619311 947067 973203 999247 1150569 1406251 1808037 1857933 2209823 2270807 2841201 2919609 2997741 4218753 6629469 6812421 6994729 8993223 10991717 12656259 15468761 19888407 20437263 20984187 32975151 46406283 48963103 62952561 76942019 98925453 120908887 139218849 146889309 230826057 362726661 440667927 538594133 692478171 846362209 1088179983 1615782399 2539086627 4847347197 5924535463 7617259881 17773606389 53320819167