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5106890832 = 2431921991481
BaseRepresentation
bin1001100000110010…
…01111100001010000
3111011220111221012220
410300121033201100
540424331001312
62202430221040
7240360566361
oct46031174120
914156457186
105106890832
11219078573a
12ba6354780
136350459c4
14366367b68
151ed51cc8c
hex13064f850

5106890832 has 120 divisors (see below), whose sum is σ = 14003121600. Its totient is φ = 1603514880.

The previous prime is 5106890827. The next prime is 5106890837. The reversal of 5106890832 is 2380986015.

It is an interprime number because it is at equal distance from previous prime (5106890827) and next prime (5106890837).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106890837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3447532 + ... + 3449012.

It is an arithmetic number, because the mean of its divisors is an integer number (116692680).

Almost surely, 25106890832 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 5106890832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7001560800).

5106890832 is an abundant number, since it is smaller than the sum of its proper divisors (8896230768).

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

5106890832 is a wasteful number, since it uses less digits than its factorization.

5106890832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 5106890832 is about 71462.5134738487. The cubic root of 5106890832 is about 1722.0755132327.

The spelling of 5106890832 in words is "five billion, one hundred six million, eight hundred ninety thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 199 228 304 361 398 456 597 722 796 912 1083 1194 1444 1481 1592 2166 2388 2888 2962 3184 3781 4332 4443 4776 5776 5924 7562 8664 8886 9552 11343 11848 15124 17328 17772 22686 23696 28139 30248 35544 45372 56278 60496 71088 71839 84417 90744 112556 143678 168834 181488 215517 225112 287356 294719 337668 431034 450224 534641 574712 589438 675336 862068 884157 1069282 1149424 1178876 1350672 1603923 1724136 1768314 2138564 2357752 3207846 3448272 3536628 4277128 4715504 5599661 6415692 7073256 8554256 11199322 12831384 14146512 16798983 22398644 25662768 33597966 44797288 67195932 89594576 106393559 134391864 212787118 268783728 319180677 425574236 638361354 851148472 1276722708 1702296944 2553445416 5106890832