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5638246056 = 233497271331
BaseRepresentation
bin1010100000001000…
…01100111010101000
3112112221100120120000
411100010030322220
543021342333211
62331251103000
7256502205102
oct52004147250
915487316500
105638246056
112433708793
1211142a1a60
136bb158891
143b6b62572
1522eecb656
hex15010cea8

5638246056 has 160 divisors (see below), whose sum is σ = 16062372480. Its totient is φ = 1847577600.

The previous prime is 5638246051. The next prime is 5638246127. The reversal of 5638246056 is 6506428365.

5638246056 is a `hidden beast` number, since 5 + 6 + 38 + 2 + 4 + 605 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5638246051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17033811 + ... + 17034141.

It is an arithmetic number, because the mean of its divisors is an integer number (100389828).

Almost surely, 25638246056 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 5638246056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8031186240).

5638246056 is an abundant number, since it is smaller than the sum of its proper divisors (10424126424).

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

5638246056 is a wasteful number, since it uses less digits than its factorization.

5638246056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 5638246056 is about 75088.2551135662. The cubic root of 5638246056 is about 1779.8415521966.

The spelling of 5638246056 in words is "five billion, six hundred thirty-eight million, two hundred forty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 162 194 216 271 291 324 331 388 542 582 648 662 776 813 873 993 1084 1164 1324 1626 1746 1986 2168 2328 2439 2619 2648 2979 3252 3492 3972 4878 5238 5958 6504 6984 7317 7857 7944 8937 9756 10476 11916 14634 15714 17874 19512 20952 21951 23832 26287 26811 29268 31428 32107 35748 43902 52574 53622 58536 62856 64214 71496 78861 87804 89701 96321 105148 107244 128428 157722 175608 179402 192642 210296 214488 236583 256856 269103 288963 315444 358804 385284 473166 538206 577926 630888 709749 717608 770568 807309 866889 946332 1076412 1155852 1419498 1614618 1733778 1892664 2129247 2152824 2311704 2421927 2600667 2838996 3229236 3467556 4258494 4843854 5201334 5677992 6458472 6935112 7265781 8516988 8700997 9687708 10402668 14531562 17033976 17401994 19375416 20805336 26102991 29063124 34803988 52205982 58126248 69607976 78308973 104411964 156617946 208823928 234926919 313235892 469853838 626471784 704780757 939707676 1409561514 1879415352 2819123028 5638246056