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55021711264 = 2513228335951
BaseRepresentation
bin110011001111100011…
…001010111110100000
312021000120001112102221
4303033203022332200
51400141024230024
641135430120424
73655326554242
oct631743127640
9167016045387
1055021711264
112137535a053
12a7b67b0114
13525b260900
14293d644092
1516706893e4
hexccf8cafa0

55021711264 has 72 divisors (see below), whose sum is σ = 117715332672. Its totient is φ = 25304198400.

The previous prime is 55021711247. The next prime is 55021711271. The reversal of 55021711264 is 46211712055.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1512489 + ... + 1548439.

It is an arithmetic number, because the mean of its divisors is an integer number (1634935176).

Almost surely, 255021711264 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 55021711264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58857666336).

55021711264 is an abundant number, since it is smaller than the sum of its proper divisors (62693621408).

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

55021711264 is a wasteful number, since it uses less digits than its factorization.

55021711264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36270 (or 36249 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 55021711264 in words is "fifty-five billion, twenty-one million, seven hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 283 338 416 566 676 1132 1352 2264 2704 3679 4528 5408 7358 9056 14716 29432 35951 47827 58864 71902 95654 117728 143804 191308 287608 382616 467363 575216 765232 934726 1150432 1530464 1869452 3738904 6075719 7477808 10174133 12151438 14955616 20348266 24302876 40696532 48605752 81393064 97211504 132263729 162786128 194423008 264527458 325572256 529054916 1058109832 1719428477 2116219664 3438856954 4232439328 6877713908 13755427816 27510855632 55021711264