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55516516616 = 231117238271951
BaseRepresentation
bin110011101101000010…
…101101000100001000
312022022001010020210002
4303231002231010020
51402144212012431
641300503342132
74003515414401
oct635502550410
9168261106702
1055516516616
11215a96986a0
12a914451948
135309917442
1429892469a8
15169dd283cb
hexced0ad108

55516516616 has 128 divisors (see below), whose sum is σ = 125680066560. Its totient is φ = 22678656000.

The previous prime is 55516516507. The next prime is 55516516619. The reversal of 55516516616 is 61661561555.

It is not an unprimeable number, because it can be changed into a prime (55516516619) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28454441 + ... + 28456391.

It is an arithmetic number, because the mean of its divisors is an integer number (981875520).

Almost surely, 255516516616 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 55516516616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62840033280).

55516516616 is an abundant number, since it is smaller than the sum of its proper divisors (70163549944).

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

55516516616 is a wasteful number, since it uses less digits than its factorization.

55516516616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2831 counting only the distinct ones).

The product of its digits is 810000, while the sum is 47.

The spelling of 55516516616 in words is "fifty-five billion, five hundred sixteen million, five hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 136 184 187 253 374 391 506 748 782 827 1012 1496 1564 1654 1951 2024 3128 3308 3902 4301 6616 7804 8602 9097 14059 15608 17204 18194 19021 21461 28118 33167 34408 36388 38042 42922 44873 56236 66334 72776 76084 85844 89746 112472 132668 152168 154649 171688 179492 209231 265336 309298 323357 358984 364837 418462 493603 618596 646714 729674 762841 836924 987206 1237192 1293428 1459348 1525682 1613477 1673848 1974412 2586856 2918696 3051364 3226954 3556927 3948824 6102728 6453908 7113854 8391251 12907816 14227708 16782502 17748247 27429109 28455416 33565004 35496494 37109971 54858218 67130008 70992988 74219942 109716436 141985976 148439884 219432872 296879768 301720199 408209681 603440398 630869507 816419362 1206880796 1261739014 1632838724 2413761592 2523478028 3265677448 5046956056 6939564577 13879129154 27758258308 55516516616