Search a number
-
+
5051005120 = 265714391567
BaseRepresentation
bin1001011010001000…
…00011100011000000
3111001000100122102201
410231010003203000
540321024130440
62153112322544
7236111556310
oct45504034300
914030318381
105051005120
1121621849a7
12b8b6a3454
136265a9635
1435cb7b440
151e867e19a
hex12d1038c0

5051005120 has 112 divisors (see below), whose sum is σ = 13764280320. Its totient is φ = 1729465344.

The previous prime is 5051005097. The next prime is 5051005129. The reversal of 5051005120 is 215001505.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (5051005129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3222577 + ... + 3224143.

It is an arithmetic number, because the mean of its divisors is an integer number (122895360).

Almost surely, 25051005120 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 5051005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882140160).

5051005120 is an abundant number, since it is smaller than the sum of its proper divisors (8713275200).

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

5051005120 is a wasteful number, since it uses less digits than its factorization.

5051005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 19.

The square root of 5051005120 is about 71070.4236655446. The cubic root of 5051005120 is about 1715.7707885683.

Adding to 5051005120 its reverse (215001505), we get a palindrome (5266006625).

The spelling of 5051005120 in words is "five billion, fifty-one million, five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1439 1567 2240 2878 3134 5756 6268 7195 7835 10073 10969 11512 12536 14390 15670 20146 21938 23024 25072 28780 31340 40292 43876 46048 50144 50365 54845 57560 62680 80584 87752 92096 100288 100730 109690 115120 125360 161168 175504 201460 219380 230240 250720 322336 351008 402920 438760 460480 501440 644672 702016 805840 877520 1611680 1755040 2254913 3223360 3510080 4509826 9019652 11274565 15784391 18039304 22549130 31568782 36078608 45098260 63137564 72157216 78921955 90196520 126275128 144314432 157843910 180393040 252550256 315687820 360786080 505100512 631375640 721572160 1010201024 1262751280 2525502560 5051005120