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5164680024 = 2332746721943
BaseRepresentation
bin1001100111101011…
…01100001101011000
3111022221020221002100
410303311230031120
541034124230044
62212253003400
7241662025110
oct46365541530
914287227070
105164680024
1122103665a9
121001783560
13643cca5aa
1436dccc040
15203635869
hex133d6c358

5164680024 has 96 divisors (see below), whose sum is σ = 16020875520. Its totient is φ = 1472395968.

The previous prime is 5164679999. The next prime is 5164680041. The reversal of 5164680024 is 4200864615.

5164680024 is a `hidden beast` number, since 5 + 1 + 646 + 8 + 0 + 0 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224397 + ... + 246339.

It is an arithmetic number, because the mean of its divisors is an integer number (166884120).

Almost surely, 25164680024 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 5164680024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010437760).

5164680024 is an abundant number, since it is smaller than the sum of its proper divisors (10856195496).

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

5164680024 is a wasteful number, since it uses less digits than its factorization.

5164680024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22429 (or 22422 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5164680024 is about 71865.7082620077. The cubic root of 5164680024 is about 1728.5467903741.

The spelling of 5164680024 in words is "five billion, one hundred sixty-four million, six hundred eighty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 467 504 934 1401 1868 2802 3269 3736 4203 5604 6538 8406 9807 11208 13076 16812 19614 21943 26152 29421 33624 39228 43886 58842 65829 78456 87772 117684 131658 153601 175544 197487 235368 263316 307202 394974 460803 526632 614404 789948 921606 1228808 1382409 1579896 1843212 2764818 3686424 5529636 10247381 11059272 20494762 30742143 40989524 61484286 71731667 81979048 92226429 122968572 143463334 184452858 215195001 245937144 286926668 368905716 430390002 573853336 645585003 737811432 860780004 1291170006 1721560008 2582340012 5164680024