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642024646440 = 233539901134087
BaseRepresentation
bin10010101011110111010…
…01101010011100101000
32021101011210122021202220
421111323221222130220
541004331302141230
61210535252154040
764245653311062
oct11257351523450
92241153567686
10642024646440
112283101a2461
12a4518908920
13487093063c8
14231076c4732
1511a79484d10
hex957ba6a728

642024646440 has 64 divisors (see below), whose sum is σ = 1926136575360. Its totient is φ = 171201004800.

The previous prime is 642024646399. The next prime is 642024646469. The reversal of 642024646440 is 44646420246.

It is a junction number, because it is equal to n+sod(n) for n = 642024646392 and 642024646401.

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, 4721077 + ... + 4855163.

It is an arithmetic number, because the mean of its divisors is an integer number (30095883990).

Almost surely, 2642024646440 is an apocalyptic number.

642024646440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642024646440 is an abundant number, since it is smaller than the sum of its proper divisors (1284111928920).

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

642024646440 is a wasteful number, since it uses less digits than its factorization.

642024646440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174002 (or 173998 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 642024646440 in words is "six hundred forty-two billion, twenty-four million, six hundred forty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 39901 79802 119703 134087 159604 199505 239406 268174 319208 399010 402261 478812 536348 598515 670435 798020 804522 957624 1072696 1197030 1340870 1596040 1609044 2011305 2394060 2681740 3218088 4022610 4788120 5363480 8045220 16090440 5350205387 10700410774 16050616161 21400821548 26751026935 32101232322 42801643096 53502053870 64202464644 80253080805 107004107740 128404929288 160506161610 214008215480 321012323220 642024646440