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5107005024 = 2531144910771
BaseRepresentation
bin1001100000110011…
…01011011001100000
3111011220201201212020
410300121223121200
540424343130044
62202432501440
7240361553322
oct46031533140
914156651766
105107005024
112190853510
12ba63aa880
13635085984
14366397612
151ed541a19
hex13066b660

5107005024 has 96 divisors (see below), whose sum is σ = 14658537600. Its totient is φ = 1543987200.

The previous prime is 5107005017. The next prime is 5107005047. The reversal of 5107005024 is 4205007015.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51070050242 = 52163000630322481152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5107004985 and 5107005003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468759 + ... + 479529.

It is an arithmetic number, because the mean of its divisors is an integer number (152693100).

Almost surely, 25107005024 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 5107005024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329268800).

5107005024 is an abundant number, since it is smaller than the sum of its proper divisors (9551532576).

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

5107005024 is a wasteful number, since it uses less digits than its factorization.

5107005024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11244 (or 11236 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 5107005024 is about 71463.3124337236. The cubic root of 5107005024 is about 1722.0883485557.

The spelling of 5107005024 in words is "five billion, one hundred seven million, five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 449 528 898 1056 1347 1796 2694 3592 4939 5388 7184 9878 10771 10776 14368 14817 19756 21542 21552 29634 32313 39512 43084 43104 59268 64626 79024 86168 118481 118536 129252 158048 172336 236962 237072 258504 344672 355443 473924 474144 517008 710886 947848 1034016 1421772 1895696 2843544 3791392 4836179 5687088 9672358 11374176 14508537 19344716 29017074 38689432 53197969 58034148 77378864 106395938 116068296 154757728 159593907 212791876 232136592 319187814 425583752 464273184 638375628 851167504 1276751256 1702335008 2553502512 5107005024