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5144218272 = 2532232692887
BaseRepresentation
bin1001100101001111…
…01000101010100000
3111021111202100211200
410302213220222200
541013404441042
62210242241200
7241323063624
oct46247505240
914244670750
105144218272
1121aa860366
12bb6956200
1363c9b4c4b
1436b2c3184
15201942c4c
hex1329e8aa0

5144218272 has 144 divisors (see below), whose sum is σ = 15326962560. Its totient is φ = 1633522176.

The previous prime is 5144218253. The next prime is 5144218283. The reversal of 5144218272 is 2728124415.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1780413 + ... + 1783299.

It is an arithmetic number, because the mean of its divisors is an integer number (106437240).

Almost surely, 25144218272 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 5144218272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663481280).

5144218272 is an abundant number, since it is smaller than the sum of its proper divisors (10182744288).

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

5144218272 is a wasteful number, since it uses less digits than its factorization.

5144218272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3184 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 5144218272 is about 71723.2059517699. The cubic root of 5144218272 is about 1726.2610141773.

The spelling of 5144218272 in words is "five billion, one hundred forty-four million, two hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 269 276 288 368 414 538 552 736 807 828 1076 1104 1614 1656 2152 2208 2421 2887 3228 3312 4304 4842 5774 6187 6456 6624 8608 8661 9684 11548 12374 12912 17322 18561 19368 23096 24748 25824 25983 34644 37122 38736 46192 49496 51966 55683 66401 69288 74244 77472 92384 98992 103932 111366 132802 138576 148488 197984 199203 207864 222732 265604 277152 296976 398406 415728 445464 531208 593952 597609 776603 796812 831456 890928 1062416 1195218 1553206 1593624 1781856 2124832 2329809 2390436 3106412 3187248 4659618 4780872 6212824 6374496 6989427 9319236 9561744 12425648 13978854 17861869 18638472 19123488 24851296 27957708 35723738 37276944 53585607 55915416 71447476 74553888 107171214 111830832 142894952 160756821 214342428 223661664 285789904 321513642 428684856 571579808 643027284 857369712 1286054568 1714739424 2572109136 5144218272