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5153012320 = 255294723629
BaseRepresentation
bin1001100110010010…
…01011101001100000
3111022010022011000011
410303021023221200
541023132343240
62211154534304
7241460611351
oct46311135140
914263264004
105153012320
112204817475
12bb9897394
13641773921
1436c531d28
152025cd6ea
hex13324ba60

5153012320 has 96 divisors (see below), whose sum is σ = 12862281600. Its totient is φ = 1947703296.

The previous prime is 5153012317. The next prime is 5153012321. The reversal of 5153012320 is 232103515.

It is a junction number, because it is equal to n+sod(n) for n = 5153012291 and 5153012300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5153012321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206266 + ... + 229894.

It is an arithmetic number, because the mean of its divisors is an integer number (133982100).

Almost surely, 25153012320 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 5153012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431140800).

5153012320 is an abundant number, since it is smaller than the sum of its proper divisors (7709269280).

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

5153012320 is a wasteful number, since it uses less digits than its factorization.

5153012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23720 (or 23712 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5153012320 is about 71784.4852318382. The cubic root of 5153012320 is about 1727.2441360096.

Adding to 5153012320 its reverse (232103515), we get a palindrome (5385115835).

The spelling of 5153012320 in words is "five billion, one hundred fifty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 47 58 80 94 116 145 160 188 232 235 290 376 464 470 580 752 928 940 1160 1363 1504 1880 2320 2726 3760 4640 5452 6815 7520 10904 13630 21808 23629 27260 43616 47258 54520 94516 109040 118145 189032 218080 236290 378064 472580 685241 756128 945160 1110563 1370482 1890320 2221126 2740964 3426205 3780640 4442252 5481928 5552815 6852410 8884504 10963856 11105630 13704820 17769008 21927712 22211260 27409640 32206327 35538016 44422520 54819280 64412654 88845040 109638560 128825308 161031635 177690080 257650616 322063270 515301232 644126540 1030602464 1288253080 2576506160 5153012320