Search a number
-
+
5512621440 = 27356774241
BaseRepresentation
bin1010010001001001…
…11110110110000000
3112020011222011222110
411020210332312000
542242212341230
62311002335320
7253415336424
oct51044766600
915204864873
105512621440
112379805097
12109a1ba540
1369b1127a1
143a41c0b84
15223e644b0
hex14893ed80

5512621440 has 128 divisors (see below), whose sum is σ = 17601585120. Its totient is φ = 1467514880.

The previous prime is 5512621427. The next prime is 5512621447. The reversal of 5512621440 is 441262155.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5512621398 and 5512621407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5512621447) 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, 1297720 + ... + 1301960.

Almost surely, 25512621440 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 5512621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8800792560).

5512621440 is an abundant number, since it is smaller than the sum of its proper divisors (12088963680).

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

5512621440 is a wasteful number, since it uses less digits than its factorization.

5512621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5512621440 is about 74247.0298395835. The cubic root of 5512621440 is about 1766.5233809664.

Adding to 5512621440 its reverse (441262155), we get a palindrome (5953883595).

The spelling of 5512621440 in words is "five billion, five hundred twelve million, six hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 677 960 1354 1920 2031 2708 3385 4062 4241 5416 6770 8124 8482 10155 10832 12723 13540 16248 16964 20310 21205 21664 25446 27080 32496 33928 40620 42410 43328 50892 54160 63615 64992 67856 81240 84820 86656 101784 108320 127230 129984 135712 162480 169640 203568 216640 254460 259968 271424 324960 339280 407136 433280 508920 542848 649920 678560 814272 1017840 1299840 1357120 1628544 2035680 2714240 2871157 4071360 5742314 8142720 8613471 11484628 14355785 17226942 22969256 28711570 34453884 43067355 45938512 57423140 68907768 86134710 91877024 114846280 137815536 172269420 183754048 229692560 275631072 344538840 367508096 459385120 551262144 689077680 918770240 1102524288 1378155360 1837540480 2756310720 5512621440