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54682320511 = 71319299711243
BaseRepresentation
bin110010111011010100…
…011111111001111111
312020010220102200212001
4302323110133321333
51343442133224021
641042023523131
73644036024650
oct627324377177
9166126380761
1054682320511
1121210820825
12a720bb94a7
135205b50690
14290a539527
151650999091
hexcbb51fe7f

54682320511 has 64 divisors (see below), whose sum is σ = 74048486400. Its totient is φ = 39163170816.

The previous prime is 54682320499. The next prime is 54682320521. The reversal of 54682320511 is 11502328645.

It is not a de Polignac number, because 54682320511 - 215 = 54682287743 is a prime.

It is a super-2 number, since 2×546823205112 (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 (54682320521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4858056 + ... + 4869298.

It is an arithmetic number, because the mean of its divisors is an integer number (1157007600).

Almost surely, 254682320511 is an apocalyptic number.

54682320511 is a deficient number, since it is larger than the sum of its proper divisors (19366165889).

54682320511 is a wasteful number, since it uses less digits than its factorization.

54682320511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11408.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 54682320511 in words is "fifty-four billion, six hundred eighty-two million, three hundred twenty thousand, five hundred eleven".

Divisors: 1 7 13 19 29 91 97 133 203 247 377 551 679 1261 1729 1843 2639 2813 3857 7163 8827 11243 12901 19691 23959 36569 50141 53447 78701 146159 167713 213617 255983 326047 374129 694811 1023113 1090571 1495319 2282329 2777021 4238611 4863677 6194893 7633997 14177423 19439147 20720849 29670277 31626559 43364251 80533609 99241961 145045943 221385913 269371037 411145267 563735263 600904621 1885597259 2878016869 4206332347 7811760073 54682320511