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5105056616616 = 233111011031858823
BaseRepresentation
bin100101001001001110100…
…0101100001000010101000
3200002001001011200012121210
41022102131011201002220
51132120123443212431
614505121452233120
71034554030161135
oct112223505410250
920061034605553
105105056616616
11169905140a560
126a548916b7a0
132b0535396538
1413912c20558c
158cbda847d46
hex4a49d1610a8

5105056616616 has 128 divisors (see below), whose sum is σ = 14197251594240. Its totient is φ = 1516798752000.

The previous prime is 5105056616551. The next prime is 5105056616617. The reversal of 5105056616616 is 6166166505015.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5105056616617) 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, 1816981 + ... + 3675803.

It is an arithmetic number, because the mean of its divisors is an integer number (110916028080).

Almost surely, 25105056616616 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 5105056616616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098625797120).

5105056616616 is an abundant number, since it is smaller than the sum of its proper divisors (9092194977624).

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

5105056616616 is a wasteful number, since it uses less digits than its factorization.

5105056616616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859047 (or 1859043 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 5105056616616 in words is "five trillion, one hundred five billion, fifty-six million, six hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 103 132 202 206 264 303 309 404 412 606 618 808 824 1111 1133 1212 1236 2222 2266 2424 2472 3333 3399 4444 4532 6666 6798 8888 9064 10403 13332 13596 20806 26664 27192 31209 41612 62418 83224 114433 124836 228866 249672 343299 457732 686598 915464 1373196 1858823 2746392 3717646 5576469 7435292 11152938 14870584 20447053 22305876 40894106 44611752 61341159 81788212 122682318 163576424 187741123 191458769 245364636 375482246 382917538 490729272 563223369 574376307 750964492 765835076 1126446738 1148752614 1501928984 1531670152 2065152353 2106046459 2252893476 2297505228 4130304706 4212092918 4505786952 4595010456 6195457059 6318139377 8260609412 8424185836 12390914118 12636278754 16521218824 16848371672 19337335669 24781828236 25272557508 38674671338 49563656472 50545115016 58012007007 77349342676 116024014014 154698685352 212710692359 232048028028 425421384718 464096056056 638132077077 850842769436 1276264154154 1701685538872 2552528308308 5105056616616