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5161310208 = 211321072617
BaseRepresentation
bin1001100111010001…
…10101100000000000
3111022200220201120100
410303220311200000
541032243411313
62212052442400
7241621261425
oct46350654000
914280821510
105161310208
11220947482a
121000619400
136433ba812
1436d691d4c
152031bc173
hex133a35800

5161310208 has 144 divisors (see below), whose sum is σ = 15051876840. Its totient is φ = 1703706624.

The previous prime is 5161310207. The next prime is 5161310213. The reversal of 5161310208 is 8020131615.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×51613102083 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5161310207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1970916 + ... + 1973532.

Almost surely, 25161310208 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 5161310208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525938420).

5161310208 is an abundant number, since it is smaller than the sum of its proper divisors (9890566632).

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

5161310208 is a wasteful number, since it uses less digits than its factorization.

5161310208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5161310208 is about 71842.2592072382. The cubic root of 5161310208 is about 1728.1707650170.

The spelling of 5161310208 in words is "five billion, one hundred sixty-one million, three hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 512 576 642 768 856 963 1024 1152 1284 1536 1712 1926 2048 2304 2568 2617 3072 3424 3852 4608 5136 5234 6144 6848 7704 7851 9216 10272 10468 13696 15408 15702 18432 20544 20936 23553 27392 30816 31404 41088 41872 47106 54784 61632 62808 82176 83744 94212 109568 123264 125616 164352 167488 188424 219136 246528 251232 280019 328704 334976 376848 493056 502464 560038 657408 669952 753696 840057 986112 1004928 1120076 1339904 1507392 1680114 1972224 2009856 2240152 2520171 2679808 3014784 3360228 4019712 4480304 5040342 5359616 6029568 6720456 8039424 8960608 10080684 12059136 13440912 16078848 17921216 20161368 24118272 26881824 35842432 40322736 48236544 53763648 71684864 80645472 107527296 143369728 161290944 215054592 286739456 322581888 430109184 573478912 645163776 860218368 1290327552 1720436736 2580655104 5161310208