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5639553984 = 2631072111301
BaseRepresentation
bin1010100000010010…
…01100001111000000
3112120000211000200210
411100021030033000
543022211211414
62331335114120
7256516263231
oct52011141700
915500730623
105639553984
112434421419
121114812940
136bb4c5cbc
143b6dc3088
15230188e59
hex15024c3c0

5639553984 has 112 divisors (see below), whose sum is σ = 15143780736. Its totient is φ = 1852032000.

The previous prime is 5639553979. The next prime is 5639554001. The reversal of 5639553984 is 4893559365.

It is a congruent number.

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, 4334134 + ... + 4335434.

It is an arithmetic number, because the mean of its divisors is an integer number (135212328).

Almost surely, 25639553984 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 5639553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7571890368).

5639553984 is an abundant number, since it is smaller than the sum of its proper divisors (9504226752).

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

5639553984 is a wasteful number, since it uses less digits than its factorization.

5639553984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 57.

The square root of 5639553984 is about 75096.9638800398. The cubic root of 5639553984 is about 1779.9791673697.

The spelling of 5639553984 in words is "five billion, six hundred thirty-nine million, five hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 211 214 321 422 428 633 642 844 856 1266 1284 1301 1688 1712 2532 2568 2602 3376 3424 3903 5064 5136 5204 6752 6848 7806 10128 10272 10408 13504 15612 20256 20544 20816 22577 31224 40512 41632 45154 62448 67731 83264 90308 124896 135462 139207 180616 249792 270924 274511 278414 361232 417621 541848 549022 556828 722464 823533 835242 1083696 1098044 1113656 1444928 1647066 1670484 2167392 2196088 2227312 3294132 3340968 4334784 4392176 4454624 6588264 6681936 8784352 8909248 13176528 13363872 17568704 26353056 26727744 29372677 52706112 58745354 88118031 117490708 176236062 234981416 352472124 469962832 704944248 939925664 1409888496 1879851328 2819776992 5639553984