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42550312464 = 24321188130491
BaseRepresentation
bin100111101000001100…
…100011111000010000
311001211101220211111200
4213220030203320100
51144120334444324
631314120511200
73034302455052
oct475014437020
9131741824450
1042550312464
11170555a65a0
1282b601b500
1340215493aa
1420b91978d2
15119084eec9
hex9e8323e10

42550312464 has 120 divisors (see below), whose sum is σ = 130059113184. Its totient is φ = 12878976000.

The previous prime is 42550312457. The next prime is 42550312481. The reversal of 42550312464 is 46421305524.

42550312464 is a `hidden beast` number, since 4 + 25 + 503 + 124 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380259 + ... + 1410749.

Almost surely, 242550312464 is an apocalyptic number.

42550312464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42550312464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65029556592).

42550312464 is an abundant number, since it is smaller than the sum of its proper divisors (87508800720).

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

42550312464 is a wasteful number, since it uses less digits than its factorization.

42550312464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31397 (or 31388 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 42550312464 its reverse (46421305524), we get a palindrome (88971617988).

The spelling of 42550312464 in words is "forty-two billion, five hundred fifty million, three hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 881 1584 1762 2643 3524 5286 7048 7929 9691 10572 14096 15858 19382 21144 29073 30491 31716 38764 42288 58146 60982 63432 77528 87219 91473 116292 121964 126864 155056 174438 182946 232584 243928 274419 335401 348876 365892 465168 487856 548838 670802 697752 731784 1006203 1097676 1341604 1395504 1463568 2012406 2195352 2683208 3018609 4024812 4390704 5366416 6037218 8049624 12074436 16099248 24148872 26862571 48297744 53725142 80587713 107450284 161175426 214900568 241763139 295488281 322350852 429801136 483526278 590976562 644701704 886464843 967052556 1181953124 1289403408 1772929686 1934105112 2363906248 2659394529 3545859372 3868210224 4727812496 5318789058 7091718744 10637578116 14183437488 21275156232 42550312464