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642635623420 = 225761347216859
BaseRepresentation
bin10010101101000000001…
…00010110101111111100
32021102202101022010121221
421112200010112233330
541012104204422140
61211120035403124
764300052446060
oct11264004265774
92242671263557
10642635623420
112285a406850a
12a46694534a4
13487a5a7644b
14231648c7aa0
1511ab2e2014a
hex95a0116bfc

642635623420 has 96 divisors (see below), whose sum is σ = 1572134376960. Its totient is φ = 216094659840.

The previous prime is 642635623403. The next prime is 642635623433. The reversal of 642635623420 is 24326536246.

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 31 ways as a sum of consecutive naturals, for example, 2854951 + ... + 3071809.

It is an arithmetic number, because the mean of its divisors is an integer number (16376399760).

Almost surely, 2642635623420 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 642635623420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786067188480).

642635623420 is an abundant number, since it is smaller than the sum of its proper divisors (929498753540).

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

642635623420 is a wasteful number, since it uses less digits than its factorization.

642635623420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217283 (or 217281 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 43.

The spelling of 642635623420 in words is "six hundred forty-two billion, six hundred thirty-five million, six hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 347 427 610 694 854 1220 1388 1708 1735 2135 2429 3470 4270 4858 6940 8540 9716 12145 21167 24290 42334 48580 84668 105835 148169 211670 216859 296338 423340 433718 592676 740845 867436 1084295 1481690 1518013 2168590 2963380 3036026 4337180 6072052 7590065 13228399 15180130 26456798 30360260 52913596 66141995 75250073 92598793 132283990 150500146 185197586 264567980 301000292 370395172 376250365 462993965 526750511 752500730 925987930 1053501022 1505001460 1851975860 2107002044 2633752555 4590254453 5267505110 9180508906 10535010220 18361017812 22951272265 32131781171 45902544530 64263562342 91805089060 128527124684 160658905855 321317811710 642635623420