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55501627136 = 285322917863
BaseRepresentation
bin110011101100001001…
…111001111100000000
312022021000002210020212
4303230021321330000
51402131404032021
641255212253252
74003245022004
oct635411717400
9168230083225
1055501627136
11215a1248a3a
12a90b471228
1353068031b7
14298728c704
15169c88685b
hexcec279f00

55501627136 has 72 divisors (see below), whose sum is σ = 113376019680. Its totient is φ = 27106799616.

The previous prime is 55501627123. The next prime is 55501627141. The reversal of 55501627136 is 63172610555.

It is a super-2 number, since 2×555016271362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55501627093 and 55501627102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3098141 + ... + 3116003.

It is an arithmetic number, because the mean of its divisors is an integer number (1574666940).

Almost surely, 255501627136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55501627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56688009840).

55501627136 is an abundant number, since it is smaller than the sum of its proper divisors (57874392544).

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

55501627136 is a wasteful number, since it uses less digits than its factorization.

55501627136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18161 (or 18147 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 41.

The spelling of 55501627136 in words is "fifty-five billion, five hundred one million, six hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 229 256 424 458 848 916 1696 1832 3392 3664 6784 7328 12137 13568 14656 17863 24274 29312 35726 48548 58624 71452 97096 142904 194192 285808 388384 571616 776768 946739 1143232 1553536 1893478 2286464 3107072 3786956 4090627 4572928 7573912 8181254 15147824 16362508 30295648 32725016 60591296 65450032 121182592 130900064 216803231 242365184 261800128 433606462 523600256 867212924 1047200512 1734425848 3468851696 6937703392 13875406784 27750813568 55501627136