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5587640688 = 2437193072851
BaseRepresentation
bin1010011010000110…
…01010000101110000
3112102102010120001010
411031003022011300
542420414000223
62322242310520
7255316106430
oct51503120560
915372116033
105587640688
112408094173
1210bb358440
136b081aa86
143b014c2c0
1522a832393
hex14d0ca170

5587640688 has 160 divisors (see below), whose sum is σ = 17427773440. Its totient is φ = 1506988800.

The previous prime is 5587640659. The next prime is 5587640689. The reversal of 5587640688 is 8860467855.

It is a happy number.

It is a super-2 number, since 2×55876406882 = 62443456916386226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5587640689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1958463 + ... + 1961313.

It is an arithmetic number, because the mean of its divisors is an integer number (108923584).

Almost surely, 25587640688 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 5587640688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8713886720).

5587640688 is an abundant number, since it is smaller than the sum of its proper divisors (11840132752).

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

5587640688 is a wasteful number, since it uses less digits than its factorization.

5587640688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The square root of 5587640688 is about 74750.5229948259. The cubic root of 5587640688 is about 1774.5006266174.

The spelling of 5587640688 in words is "five billion, five hundred eighty-seven million, six hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 307 336 399 456 532 614 798 912 921 1064 1228 1596 1842 2128 2149 2456 2851 3192 3684 4298 4912 5702 5833 6384 6447 7368 8553 8596 11404 11666 12894 14736 17106 17192 17499 19957 22808 23332 25788 34212 34384 34998 39914 40831 45616 46664 51576 54169 59871 68424 69996 79828 81662 93328 103152 108338 119742 122493 136848 139992 159656 162507 163324 216676 239484 244986 279984 319312 325014 326648 379183 433352 478968 489972 650028 653296 758366 866704 875257 957936 979944 1137549 1300056 1516732 1750514 1959888 2275098 2600112 2625771 3033464 3501028 4550196 5251542 6066928 6126799 7002056 9100392 10503084 12253598 14004112 16629883 18200784 18380397 21006168 24507196 33259766 36760794 42012336 49014392 49889649 66519532 73521588 98028784 99779298 116409181 133039064 147043176 199558596 232818362 266078128 294086352 349227543 399117192 465636724 698455086 798234384 931273448 1396910172 1862546896 2793820344 5587640688