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420241646524 = 227192389106877
BaseRepresentation
bin1100001110110000101…
…10101010001110111100
31111011201100210112221211
412013120112222032330
523341123330142044
6521020100534204
742234660025510
oct6073026521674
91434640715854
10420241646524
111522504a9a97
12695420b1364
13308230c238b
14164a85cc140
15ade8998634
hex61d85aa3bc

420241646524 has 72 divisors (see below), whose sum is σ = 889336113120. Its totient is φ = 170184212352.

The previous prime is 420241646509. The next prime is 420241646567. The reversal of 420241646524 is 425646142024.

It is a super-2 number, since 2×4202416465242 (a number of 24 digits) contains 22 as substring.

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, 3878574 + ... + 3985450.

It is an arithmetic number, because the mean of its divisors is an integer number (12351890460).

Almost surely, 2420241646524 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 420241646524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444668056560).

420241646524 is an abundant number, since it is smaller than the sum of its proper divisors (469094466596).

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

420241646524 is a wasteful number, since it uses less digits than its factorization.

420241646524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107315 (or 107294 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 420241646524 its reverse (425646142024), we get a palindrome (845887788548).

The spelling of 420241646524 in words is "four hundred twenty billion, two hundred forty-one million, six hundred forty-six thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 389 532 722 778 1444 1556 2527 2723 5054 5446 7391 10108 10892 14782 29564 51737 103474 106877 140429 206948 213754 280858 427508 561716 748139 983003 1496278 1966006 2030663 2992556 3932012 4061326 8122652 14214641 28429282 38582597 41575153 56858564 77165194 83150306 154330388 166300612 270078179 291026071 540156358 582052142 789927907 1080312716 1164104284 1579855814 3159711628 5529495349 11058990698 15008630233 22117981396 30017260466 60034520932 105060411631 210120823262 420241646524