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42252501544 = 231110736712227
BaseRepresentation
bin100111010110011100…
…100000001000101000
311001001122112110201121
4213112130200020220
51143013120022134
631224401425024
73024025223461
oct472634401050
9131048473647
1042252501544
1116a12487870
12823233b174
133ca4936b06
14208b7d3d68
151174624ab4
hex9d6720228

42252501544 has 64 divisors (see below), whose sum is σ = 87478133760. Its totient is φ = 18972795840.

The previous prime is 42252501479. The next prime is 42252501547. The reversal of 42252501544 is 44510525224.

It is not an unprimeable number, because it can be changed into a prime (42252501547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3449559 + ... + 3461785.

It is an arithmetic number, because the mean of its divisors is an integer number (1366845840).

Almost surely, 242252501544 is an apocalyptic number.

42252501544 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 42252501544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43739066880).

42252501544 is an abundant number, since it is smaller than the sum of its proper divisors (45225632216).

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

42252501544 is a wasteful number, since it uses less digits than its factorization.

42252501544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12718 (or 12714 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

The spelling of 42252501544 in words is "forty-two billion, two hundred fifty-two million, five hundred one thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 107 214 367 428 734 856 1177 1468 2354 2936 4037 4708 8074 9416 12227 16148 24454 32296 39269 48908 78538 97816 134497 157076 268994 314152 431959 537988 863918 1075976 1308289 1727836 2616578 3455672 4487309 5233156 8974618 10466312 14391179 17949236 28782358 35898472 49360399 57564716 98720798 115129432 197441596 394883192 480142063 960284126 1920568252 3841136504 5281562693 10563125386 21126250772 42252501544