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63812842302420 = 22325362179788657
BaseRepresentation
bin11101000001001100101011…
…10011000010101111010100
322100221110002200212002110100
432200212111303002233110
531331002200112134140
6343415114241254100
716304216501652501
oct1640462563025724
9270843080762410
1063812842302420
1119372968978452
1271a7433934330
13297b6a9b63c73
1411a87b53d04a8
15759db9c8a530
hex3a0995cc2bd4

63812842302420 has 72 divisors (see below), whose sum is σ = 193570986032424. Its totient is φ = 17016286353408.

The previous prime is 63812842302403. The next prime is 63812842302457. The reversal of 63812842302420 is 2420324821836.

63812842302420 is a `hidden beast` number, since 6 + 38 + 128 + 42 + 30 + 2 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1323153280656 + 62489689021764 = 1150284^2 + 7905042^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1624732 + ... + 11413388.

It is an arithmetic number, because the mean of its divisors is an integer number (2688485917117).

Almost surely, 263812842302420 is an apocalyptic number.

63812842302420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63812842302420 is an abundant number, since it is smaller than the sum of its proper divisors (129758143730004).

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

63812842302420 is a wasteful number, since it uses less digits than its factorization.

63812842302420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9824889 (or 9824884 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 63812842302420 in words is "sixty-three trillion, eight hundred twelve billion, eight hundred forty-two million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 36217 72434 108651 144868 181085 217302 325953 362170 434604 543255 651906 724340 1086510 1303812 1629765 2173020 3259530 6519060 9788657 19577314 29365971 39154628 48943285 58731942 88097913 97886570 117463884 146829855 176195826 195773140 293659710 352391652 440489565 587319420 880979130 1761958260 354515790569 709031581138 1063547371707 1418063162276 1772578952845 2127094743414 3190642115121 3545157905690 4254189486828 5317736858535 6381284230242 7090315811380 10635473717070 12762568460484 15953210575605 21270947434140 31906421151210 63812842302420