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5164351566 = 2311317173487
BaseRepresentation
bin1001100111101000…
…11100000001001110
3111022220122020112020
410303310130001032
541034033222231
62212241551010
7241656156363
oct46364340116
914286566466
105164351566
112210161850
121001645466
13643c13c3a
1436dc4446a
152035bd396
hex133d1c04e

5164351566 has 128 divisors (see below), whose sum is σ = 11981094912. Its totient is φ = 1469664000.

The previous prime is 5164351559. The next prime is 5164351571. The reversal of 5164351566 is 6651534615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10604175 + ... + 10604661.

It is an arithmetic number, because the mean of its divisors is an integer number (93602304).

Almost surely, 25164351566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5164351566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990547456).

5164351566 is an abundant number, since it is smaller than the sum of its proper divisors (6816743346).

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

5164351566 is a wasteful number, since it uses less digits than its factorization.

5164351566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678.

The product of its digits is 324000, while the sum is 42.

The square root of 5164351566 is about 71863.4230050309. The cubic root of 5164351566 is about 1728.5101461513.

The spelling of 5164351566 in words is "five billion, one hundred sixty-four million, three hundred fifty-one thousand, five hundred sixty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 71 73 93 142 146 186 213 219 341 426 438 487 682 781 803 974 1023 1461 1562 1606 2046 2201 2263 2343 2409 2922 4402 4526 4686 4818 5183 5357 6603 6789 10366 10714 13206 13578 15097 15549 16071 24211 24893 30194 31098 32142 34577 35551 45291 48422 49786 57013 69154 71102 72633 74679 90582 103731 106653 114026 145266 149358 160673 166067 171039 207462 213306 321346 332134 342078 380347 391061 482019 498201 760694 782122 964038 996402 1071887 1102081 1141041 1173183 1767403 2143774 2204162 2282082 2346366 2524121 3215661 3306243 3534806 5048242 5302209 6431322 6612486 7572363 10604418 11790757 12122891 15144726 23581514 24245782 27765331 35372271 36368673 55530662 70744542 72737346 78247751 83295993 156495502 166591986 234743253 469486506 860725261 1721450522 2582175783 5164351566