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54403203344 = 24721714092897
BaseRepresentation
bin110010101010101011…
…110000000100010000
312012102110020002002012
4302222223300010100
51342404210001334
640554213242052
73634106412200
oct625253600420
9165373202065
1054403203344
112108820a986
12a663633328
135190084aa9
1428c1440400
1516362129ce
hexcaaaf0110

54403203344 has 120 divisors (see below), whose sum is σ = 129965041080. Its totient is φ = 21921005568.

The previous prime is 54403203343. The next prime is 54403203377. The reversal of 54403203344 is 44330230445.

It can be written as a sum of positive squares in 4 ways, for example, as 15366400 + 54387836944 = 3920^2 + 233212^2 .

It is a super-2 number, since 2×544032033442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54403203344.

It is not an unprimeable number, because it can be changed into a prime (54403203343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18777704 + ... + 18780600.

It is an arithmetic number, because the mean of its divisors is an integer number (1083042009).

Almost surely, 254403203344 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 54403203344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64982520540).

54403203344 is an abundant number, since it is smaller than the sum of its proper divisors (75561837736).

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

54403203344 is a wasteful number, since it uses less digits than its factorization.

54403203344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 54403203344 its reverse (44330230445), we get a palindrome (98733433789).

The spelling of 54403203344 in words is "fifty-four billion, four hundred three million, two hundred three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1409 1666 1904 2818 2897 3332 5636 5794 6664 9863 11272 11588 13328 19726 20279 22544 23176 23953 39452 40558 46352 47906 49249 69041 78904 81116 95812 98498 138082 141953 157808 162232 167671 191624 196996 276164 283906 324464 335342 344743 383248 393992 552328 567812 670684 689486 787984 1104656 1135624 1173697 1341368 1378972 2271248 2347394 2413201 2682736 2757944 4081873 4694788 4826402 5515888 8163746 9389576 9652804 16327492 18779152 19305608 28573111 32654984 38611216 57146222 65309968 69391841 114292444 138783682 200011777 228584888 277567364 400023554 457169776 485742887 555134728 800047108 971485774 1110269456 1600094216 1942971548 3200188432 3400200209 3885943096 6800400418 7771886192 13600800836 27201601672 54403203344