Search a number
-
+
466420260000 = 2535413159341
BaseRepresentation
bin1101100100110001101…
…00000101110010100000
31122120220122000011202110
412302120310011302200
530120212041310000
6554134232515320
745461220536622
oct6623064056240
91576818004673
10466420260000
1116a898093862
127648b24bb40
1334ca224a436
14188095c0c12
15c1ecaea850
hex6c98d05ca0

466420260000 has 240 divisors, whose sum is σ = 1541656736928. Its totient is φ = 123427200000.

The previous prime is 466420259999. The next prime is 466420260029. The reversal of 466420260000 is 62024664.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 466420260000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7830330 + ... + 7889670.

Almost surely, 2466420260000 is an apocalyptic number.

466420260000 is a gapful number since it is divisible by the number (40) 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 466420260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770828368464).

466420260000 is an abundant number, since it is smaller than the sum of its proper divisors (1075236476928).

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

466420260000 is a wasteful number, since it uses less digits than its factorization.

466420260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59505 (or 59482 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 466420260000 its reverse (62024664), we get a palindrome (466482284664).

The spelling of 466420260000 in words is "four hundred sixty-six billion, four hundred twenty million, two hundred sixty thousand".