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42277255904 = 25131137391217
BaseRepresentation
bin100111010111111010…
…111011101011100000
311001010101010010022202
4213113322323223200
51143040434142104
631231044152332
73024445513562
oct472772735340
9131111103282
1042277255904
1116a25455114
12823a6986a8
133ca9ac3270
142090bd9332
1511768b451e
hex9d7ebbae0

42277255904 has 96 divisors (see below), whose sum is σ = 90625923360. Its totient is φ = 19297861632.

The previous prime is 42277255859. The next prime is 42277255931. The reversal of 42277255904 is 40955277224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34738304 + ... + 34739520.

It is an arithmetic number, because the mean of its divisors is an integer number (944020035).

Almost surely, 242277255904 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 42277255904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45312961680).

42277255904 is an abundant number, since it is smaller than the sum of its proper divisors (48348667456).

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

42277255904 is a wasteful number, since it uses less digits than its factorization.

42277255904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 47.

The spelling of 42277255904 in words is "forty-two billion, two hundred seventy-seven million, two hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 208 226 416 452 739 904 1217 1469 1478 1808 2434 2938 2956 3616 4868 5876 5912 9607 9736 11752 11824 15821 19214 19472 23504 23648 31642 38428 38944 47008 63284 76856 83507 126568 137521 153712 167014 253136 275042 307424 334028 506272 550084 668056 899363 1085591 1100168 1336112 1787773 1798726 2171182 2200336 2672224 3575546 3597452 4342364 4400672 7151092 7194904 8684728 11691719 14302184 14389808 17369456 23383438 28604368 28779616 34738912 46766876 57208736 93533752 101628019 187067504 203256038 374135008 406512076 813024152 1321164247 1626048304 2642328494 3252096608 5284656988 10569313976 21138627952 42277255904