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5215144000 = 26531159263
BaseRepresentation
bin1001101101101100…
…01100100001000000
3111110110012202122111
410312312030201000
541140034102000
62221254345104
7243143664313
oct46666144100
914413182574
105215144000
1122368a3970
12101665b194
136515b8c31
143768a697a
15207ca2cba
hex136d8c840

5215144000 has 112 divisors (see below), whose sum is σ = 14089660416. Its totient is φ = 1896384000.

The previous prime is 5215143991. The next prime is 5215144003. The reversal of 5215144000 is 4415125.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (5215144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58369 + ... + 117631.

Almost surely, 25215144000 is an apocalyptic number.

5215144000 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 5215144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044830208).

5215144000 is an abundant number, since it is smaller than the sum of its proper divisors (8874516416).

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

5215144000 is a wasteful number, since it uses less digits than its factorization.

5215144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59301 (or 59281 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5215144000 is about 72215.9539160150. The cubic root of 5215144000 is about 1734.1584171830.

Adding to 5215144000 its reverse (4415125), we get a palindrome (5219559125).

The spelling of 5215144000 in words is "five billion, two hundred fifteen million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 59263 88000 118526 237052 296315 474104 592630 651893 948208 1185260 1303786 1481575 1896416 2370520 2607572 2963150 3259465 3792832 4741040 5215144 5926300 6518930 7407875 9482080 10430288 11852600 13037860 14815750 16297325 18964160 20860576 23705200 26075720 29631500 32594650 41721152 47410400 52151440 59263000 65189300 81486625 94820800 104302880 118526000 130378600 162973250 208605760 237052000 260757200 325946500 474104000 521514400 651893000 1043028800 1303786000 2607572000 5215144000