Search a number
-
+
5652201984 = 293111325733
BaseRepresentation
bin1010100001110010…
…11100001000000000
3112120220121121111020
411100321130020000
543033430430414
62332510145440
7260031631662
oct52071341000
915526547436
105652201984
112440580010
121118ab2280
136c1003c20
143b8956532
152313367a9
hex150e5c200

5652201984 has 160 divisors (see below), whose sum is σ = 17690992704. Its totient is φ = 1580974080.

The previous prime is 5652201967. The next prime is 5652201991. The reversal of 5652201984 is 4891022565.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206782 + ... + 232514.

Almost surely, 25652201984 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 5652201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845496352).

5652201984 is an abundant number, since it is smaller than the sum of its proper divisors (12038790720).

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

5652201984 is a wasteful number, since it uses less digits than its factorization.

5652201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25778 (or 25762 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 5652201984 is about 75181.1278446925. The cubic root of 5652201984 is about 1781.3088450464.

The spelling of 5652201984 in words is "five billion, six hundred fifty-two million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 512 528 572 624 704 768 832 858 1056 1144 1248 1408 1536 1664 1716 2112 2288 2496 2816 3328 3432 4224 4576 4992 5632 6656 6864 8448 9152 9984 13728 16896 18304 19968 25733 27456 36608 51466 54912 73216 77199 102932 109824 154398 205864 219648 283063 308796 334529 411728 566126 617592 669058 823456 849189 1003587 1132252 1235184 1338116 1646912 1698378 2007174 2264504 2470368 2676232 3293824 3396756 3679819 4014348 4529008 4940736 5352464 6587648 6793512 7359638 8028696 9058016 9881472 10704928 11039457 13175296 13587024 14719276 16057392 18116032 19762944 21409856 22078914 27174048 29438552 32114784 36232064 39525888 42819712 44157828 54348096 58877104 64229568 72464128 85639424 88315656 108696192 117754208 128459136 144928256 171278848 176631312 217392384 235508416 256918272 353262624 434784768 471016832 513836544 706525248 942033664 1413050496 1884067328 2826100992 5652201984