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42646462420 = 22541271191911
BaseRepresentation
bin100111101101111011…
…010101111111010100
311002002002211202110011
4213231323111333110
51144314443244140
631331433410004
73036550643452
oct475573257724
9132062752404
1042646462420
11170a48a8471
128322269904
134038442663
1420c7c659d2
151198ee3cea
hex9eded5fd4

42646462420 has 48 divisors (see below), whose sum is σ = 92080912896. Its totient is φ = 16581024000.

The previous prime is 42646462409. The next prime is 42646462421. The reversal of 42646462420 is 2426464624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42646462421) 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, 126265 + ... + 318175.

It is an arithmetic number, because the mean of its divisors is an integer number (1918352352).

Almost surely, 242646462420 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 42646462420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46040456448).

42646462420 is an abundant number, since it is smaller than the sum of its proper divisors (49434450476).

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

42646462420 is a wasteful number, since it uses less digits than its factorization.

42646462420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192232 (or 192230 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

It can be divided in two parts, 426464 and 62420, that added together give a palindrome (488884).

The spelling of 42646462420 in words is "forty-two billion, six hundred forty-six million, four hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 5420 11111 22222 44444 55555 111110 191911 222220 383822 767644 959555 1919110 3838220 7868351 15736702 31473404 39341755 52007881 78683510 104015762 157367020 208031524 260039405 520078810 1040157620 2132323121 4264646242 8529292484 10661615605 21323231210 42646462420