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5106891328 = 26731121149
BaseRepresentation
bin1001100000110010…
…01111101001000000
3111011220111221220021
410300121033221000
540424331010303
62202430223224
7240360601000
oct46031175100
914156457807
105106891328
112190786050
12ba6354b14
13635045cb6
14366368000
151ed51cebd
hex13064fa40

5106891328 has 112 divisors (see below), whose sum is σ = 12893040000. Its totient is φ = 1989603840.

The previous prime is 5106891311. The next prime is 5106891331. The reversal of 5106891328 is 8231986015.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 230898 + ... + 252046.

Almost surely, 25106891328 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 5106891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446520000).

5106891328 is an abundant number, since it is smaller than the sum of its proper divisors (7786148672).

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

5106891328 is a wasteful number, since it uses less digits than its factorization.

5106891328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21193 (or 21169 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 5106891328 is about 71462.5169441995. The cubic root of 5106891328 is about 1722.0755689841.

The spelling of 5106891328 in words is "five billion, one hundred six million, eight hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 343 352 392 448 539 616 686 704 784 1078 1232 1372 1568 2156 2464 2744 3136 3773 4312 4928 5488 7546 8624 10976 15092 17248 21149 21952 30184 34496 42298 60368 84596 120736 148043 169192 232639 241472 296086 338384 465278 592172 676768 930556 1036301 1184344 1353536 1628473 1861112 2072602 2368688 3256946 3722224 4145204 4737376 6513892 7254107 7444448 8290408 9474752 11399311 13027784 14508214 14888896 16580816 22798622 26055568 29016428 33161632 45597244 52111136 58032856 66323264 79795177 91194488 104222272 116065712 159590354 182388976 232131424 319180708 364777952 464262848 638361416 729555904 1276722832 2553445664 5106891328