Search a number
-
+
5557985664 = 273711187973
BaseRepresentation
bin1010010110100100…
…00010000110000000
3112100100022220222220
411023102002012000
542340321020124
62315302531040
7254506045560
oct51322020600
915310286886
105557985664
1123a2379990
1210b1436a80
136a7636b1a
143aa22cda0
15227e25879
hex14b482180

5557985664 has 128 divisors (see below), whose sum is σ = 18406414080. Its totient is φ = 1443624960.

The previous prime is 5557985651. The next prime is 5557985677. The reversal of 5557985664 is 4665897555.

It is an interprime number because it is at equal distance from previous prime (5557985651) and next prime (5557985677).

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

It is a junction number, because it is equal to n+sod(n) for n = 5557985598 and 5557985607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64419 + ... + 123554.

It is an arithmetic number, because the mean of its divisors is an integer number (143800110).

Almost surely, 25557985664 is an apocalyptic number.

It is an amenable number.

5557985664 is an abundant number, since it is smaller than the sum of its proper divisors (12848428416).

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

5557985664 is a wasteful number, since it uses less digits than its factorization.

5557985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188008 (or 187996 counting only the distinct ones).

The product of its digits is 45360000, while the sum is 60.

The square root of 5557985664 is about 74551.8991307398. The cubic root of 5557985664 is about 1771.3558152170.

The spelling of 5557985664 in words is "five billion, five hundred fifty-seven million, nine hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14784 29568 187973 375946 563919 751892 1127838 1315811 1503784 2067703 2255676 2631622 3007568 3947433 4135406 4511352 5263244 6015136 6203109 7894866 8270812 9022704 10526488 12030272 12406218 14473921 15789732 16541624 18045408 21052976 24060544 24812436 28947842 31579464 33083248 36090816 42105952 43421763 49624872 57895684 63158928 66166496 72181632 84211904 86843526 99249744 115791368 126317856 132332992 168423808 173687052 198499488 231582736 252635712 264665984 347374104 396998976 463165472 505271424 694748208 793997952 926330944 1389496416 1852661888 2778992832 5557985664