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55206772686 = 23213299118313
BaseRepresentation
bin110011011010100101…
…000111111111001110
312021111110021121222200
4303122211013333032
51401030413211221
641210040422330
73663034553022
oct633245077716
9167443247880
1055206772686
112145a86947a
12a8487779a6
13528a6b7500
14295a058382
151681a42426
hexcda947fce

55206772686 has 72 divisors (see below), whose sum is σ = 129661361856. Its totient is φ = 16968631680.

The previous prime is 55206772679. The next prime is 55206772703. The reversal of 55206772686 is 68627760255.

55206772686 is a `hidden beast` number, since 552 + 0 + 6 + 7 + 7 + 2 + 6 + 86 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3005466 + ... + 3023778.

It is an arithmetic number, because the mean of its divisors is an integer number (1800852248).

Almost surely, 255206772686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55206772686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64830680928).

55206772686 is an abundant number, since it is smaller than the sum of its proper divisors (74454589170).

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

55206772686 is a wasteful number, since it uses less digits than its factorization.

55206772686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19338 (or 19322 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 55206772686 in words is "fifty-five billion, two hundred six million, seven hundred seventy-two thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 991 1014 1521 1982 2973 3042 5946 8919 12883 17838 18313 25766 36626 38649 54939 77298 109878 115947 164817 167479 231894 238069 329634 334958 476138 502437 714207 1004874 1428414 1507311 2142621 3014622 3094897 4285242 6189794 9284691 18148183 18569382 27854073 36296366 54444549 55708146 108889098 163333647 235926379 326667294 471852758 707779137 1415558274 2123337411 3067042927 4246674822 6134085854 9201128781 18402257562 27603386343 55206772686