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5155104000 = 2835353699
BaseRepresentation
bin1001100110100010…
…01010010100000000
3111022021020102020210
410303101022110000
541024201312000
62211311434120
7241514442504
oct46321122400
914267212223
105155104000
112205a15a32
12bba525940
136420269c7
1436c918304
15202893350
hex13344a500

5155104000 has 144 divisors (see below), whose sum is σ = 17122996800. Its totient is φ = 1374668800.

The previous prime is 5155103971. The next prime is 5155104001. The reversal of 5155104000 is 4015515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5155104001) 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, 69151 + ... + 122849.

It is an arithmetic number, because the mean of its divisors is an integer number (118909700).

Almost surely, 25155104000 is an apocalyptic number.

5155104000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5155104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561498400).

5155104000 is an abundant number, since it is smaller than the sum of its proper divisors (11967892800).

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

5155104000 is an equidigital number, since it uses as much as digits as its factorization.

5155104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53733 (or 53709 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 5155104000 is about 71799.0529185448. The cubic root of 5155104000 is about 1727.4778086051.

Adding to 5155104000 its reverse (4015515), we get a palindrome (5159119515).

The spelling of 5155104000 in words is "five billion, one hundred fifty-five million, one hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 53699 96000 107398 161097 214796 268495 322194 429592 536990 644388 805485 859184 1073980 1288776 1342475 1610970 1718368 2147960 2577552 2684950 3221940 3436736 4027425 4295920 5155104 5369900 6443880 6712375 6873472 8054850 8591840 10310208 10739800 12887760 13424750 13746944 16109700 17183680 20137125 20620416 21479600 25775520 26849500 32219400 34367360 40274250 41240832 42959200 51551040 53699000 64438800 68734720 80548500 85918400 103102080 107398000 128877600 161097000 171836800 206204160 214796000 257755200 322194000 343673600 429592000 515510400 644388000 859184000 1031020800 1288776000 1718368000 2577552000 5155104000