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421776240516 = 223283277509591
BaseRepresentation
bin1100010001100111101…
…00101010111110000100
31111022200022102000011100
412020303310222332010
523402244204144031
6521432240340100
742321002614461
oct6106364527604
91438608360140
10421776240516
11152968768194
12698b0014630
1330a09007667
14165b2338668
15ae88577de6
hex6233d2af84

421776240516 has 72 divisors (see below), whose sum is σ = 1082899306944. Its totient is φ = 138396490560.

The previous prime is 421776240493. The next prime is 421776240527. The reversal of 421776240516 is 615042677124.

421776240516 is a `hidden beast` number, since 4 + 2 + 1 + 7 + 7 + 624 + 0 + 5 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572881 + ... + 1082471.

It is an arithmetic number, because the mean of its divisors is an integer number (15040268152).

Almost surely, 2421776240516 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 421776240516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541449653472).

421776240516 is an abundant number, since it is smaller than the sum of its proper divisors (661123066428).

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

421776240516 is a wasteful number, since it uses less digits than its factorization.

421776240516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509961 (or 509956 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 421776240516 in words is "four hundred twenty-one billion, seven hundred seventy-six million, two hundred forty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 277 332 498 554 747 831 996 1108 1494 1662 2493 2988 3324 4986 9972 22991 45982 68973 91964 137946 206919 275892 413838 509591 827676 1019182 1528773 2038364 3057546 4586319 6115092 9172638 18345276 42296053 84592106 126888159 141156707 169184212 253776318 282313414 380664477 423470121 507552636 564626828 761328954 846940242 1270410363 1522657908 1693880484 2540820726 5081641452 11716006681 23432013362 35148020043 46864026724 70296040086 105444060129 140592080172 210888120258 421776240516