Search a number
-
+
55327613760510 = 2357132331111725447
BaseRepresentation
bin11001001010001111101101…
…10000111011001111111110
321020220021020112100210110220
430211013312300323033332
524222441423110314020
6313401053241442210
714440200563252220
oct1445076660731776
9236807215323426
1055327613760510
11166a1344641923
126256a41aa0366
1324b44aa4cc6b0
14d93c29660410
1565e2e8e10240
hex3251f6c3b3fe

55327613760510 has 512 divisors, whose sum is σ = 176200525283328. Its totient is φ = 10795683317760.

The previous prime is 55327613760509. The next prime is 55327613760563. The reversal of 55327613760510 is 1506731672355.

It is a super-4 number, since 4×553276137605104 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2174216607 + ... + 2174242053.

It is an arithmetic number, because the mean of its divisors is an integer number (344141650944).

Almost surely, 255327613760510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55327613760510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88100262641664).

55327613760510 is an abundant number, since it is smaller than the sum of its proper divisors (120872911522818).

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

55327613760510 is a wasteful number, since it uses less digits than its factorization.

55327613760510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26648.

The product of its (nonzero) digits is 3969000, while the sum is 51.

The spelling of 55327613760510 in words is "fifty-five trillion, three hundred twenty-seven billion, six hundred thirteen million, seven hundred sixty thousand, five hundred ten".