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421720604646 = 231141437151047
BaseRepresentation
bin1100010001100001000…
…00011011111111100110
31111022112102201102002120
412020300200123333212
523402140433322041
6521422532050410
742316425664665
oct6106040337746
91438472642076
10421720604646
1115293a318130
1269895463a06
13309ca627c23
14165a8bb4ddc
15ae83738366
hex623081bfe6

421720604646 has 128 divisors (see below), whose sum is σ = 978082947072. Its totient is φ = 120060192000.

The previous prime is 421720604611. The next prime is 421720604677. The reversal of 421720604646 is 646406027124.

It is a junction number, because it is equal to n+sod(n) for n = 421720604598 and 421720604607.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 8235895 + ... + 8286941.

It is an arithmetic number, because the mean of its divisors is an integer number (7641273024).

Almost surely, 2421720604646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421720604646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489041473536).

421720604646 is an abundant number, since it is smaller than the sum of its proper divisors (556362342426).

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

421720604646 is a wasteful number, since it uses less digits than its factorization.

421720604646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51218.

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 421720604646 in words is "four hundred twenty-one billion, seven hundred twenty million, six hundred four thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 33 41 43 66 71 82 86 123 129 142 213 246 258 426 451 473 781 902 946 1353 1419 1562 1763 2343 2706 2838 2911 3053 3526 4686 5289 5822 6106 8733 9159 10578 17466 18318 19393 32021 33583 38786 51047 58179 64042 67166 96063 100749 102094 116358 125173 153141 192126 201498 250346 306282 375519 561517 751038 1123034 1376903 1684551 2092927 2195021 2753806 3369102 3624337 4130709 4185854 4390042 6278781 6585063 7248674 8261418 10873011 12557562 13170126 21746022 23022197 24145231 39867707 46044394 48290462 69066591 72435693 79735414 89995861 119603121 138133182 144871386 148597817 155846491 179991722 239206242 269987583 297195634 311692982 445793451 467539473 539975166 891586902 935078946 989954471 1634575987 1714311401 1979908942 2969863413 3269151974 3428622802 4903727961 5142934203 5939726826 6389706131 9807455922 10285868406 12779412262 19169118393 38338236786 70286767441 140573534882 210860302323 421720604646