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5145681168 = 243437107309
BaseRepresentation
bin1001100101011010…
…01101110100010000
3111021121111200120000
410302231031310100
541014243244133
62210333450000
7241341365625
oct46255156420
914247450500
105145681168
11220066a471
12bb7340900
136400a7a74
1436b58434c
15201b31413
hex132b4dd10

5145681168 has 100 divisors (see below), whose sum is σ = 15295752780. Its totient is φ = 1668854016.

The previous prime is 5145681161. The next prime is 5145681181. The reversal of 5145681168 is 8611865415.

5145681168 is a `hidden beast` number, since 5 + 14 + 568 + 11 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2808152064 + 2337529104 = 52992^2 + 48348^2 .

It is not an unprimeable number, because it can be changed into a prime (5145681161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5703 + ... + 101606.

Almost surely, 25145681168 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 5145681168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647876390).

5145681168 is an abundant number, since it is smaller than the sum of its proper divisors (10150071612).

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

5145681168 is a wasteful number, since it uses less digits than its factorization.

5145681168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107366 (or 107351 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 5145681168 is about 71733.4034324317. The cubic root of 5145681168 is about 1726.4246348257.

The spelling of 5145681168 in words is "five billion, one hundred forty-five million, six hundred eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1776 1998 2664 2997 3996 5328 5994 7992 11988 15984 23976 47952 107309 214618 321927 429236 643854 858472 965781 1287708 1716944 1931562 2575416 2897343 3863124 3970433 5150832 5794686 7726248 7940866 8692029 11589372 11911299 15452496 15881732 17384058 23178744 23822598 31763464 34768116 35733897 46357488 47645196 63526928 69536232 71467794 95290392 107201691 139072464 142935588 190580784 214403382 285871176 321605073 428806764 571742352 643210146 857613528 1286420292 1715227056 2572840584 5145681168