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53537371870671 = 321317157967917713
BaseRepresentation
bin11000010110001001001000…
…00010000101010111001111
321000120010022111101222122200
430023010210002011113033
524004124014144330141
6305510421253012543
714163642661260003
oct1413044402052717
9230503274358580
1053537371870671
1116071087782897
126007a99624153
1323b4724b11890
14d31318c4a703
1562c96add3ab6
hex30b1240855cf

53537371870671 has 96 divisors (see below), whose sum is σ = 88755030524160. Its totient is φ = 30805644460032.

The previous prime is 53537371870657. The next prime is 53537371870681. The reversal of 53537371870671 is 17607817373535.

53537371870671 is a `hidden beast` number, since 5 + 3 + 537 + 37 + 1 + 8 + 7 + 0 + 67 + 1 = 666.

It is not a de Polignac number, because 53537371870671 - 25 = 53537371870639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 53537371870599 and 53537371870608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53537371870621) 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 95 ways as a sum of consecutive naturals, for example, 3022481511 + ... + 3022499223.

It is an arithmetic number, because the mean of its divisors is an integer number (924531567960).

Almost surely, 253537371870671 is an apocalyptic number.

53537371870671 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

53537371870671 is a deficient number, since it is larger than the sum of its proper divisors (35217658653489).

53537371870671 is a wasteful number, since it uses less digits than its factorization.

53537371870671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27585 (or 27582 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 53537371870671 in words is "fifty-three trillion, five hundred thirty-seven billion, three hundred seventy-one million, eight hundred seventy thousand, six hundred seventy-one".

Divisors: 1 3 9 13 17 39 51 117 153 157 221 471 663 1413 1989 2041 2669 6123 8007 9679 17713 18369 24021 29037 34697 53139 87111 104091 125827 159417 164543 230269 301121 312273 377481 493629 690807 903363 1132443 1480887 1519603 2072421 2139059 2710089 2780941 3914573 4558809 6417177 8342823 11743719 13676427 19251531 19754839 25028469 25833251 35231157 36152233 47275997 59264517 77499753 108456699 141827991 171444127 177793551 232499259 325370097 335832263 425483973 514332381 614587961 1007496789 1542997143 1843763883 2228773651 2914550159 3022490367 5531291649 6686320953 8743650477 20058962859 26230951431 26916727939 37889152067 80750183817 113667456201 242250551451 341002368603 349917463207 457584374963 1049752389621 1372753124889 3149257168863 4118259374667 5948596874519 17845790623557 53537371870671