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10063427400 = 23325213430061
BaseRepresentation
bin10010101111101001…
…11011011101001000
3221222100010002011100
421113310323131020
5131102214134100
64342330101400
7504244502325
oct112764733510
927870102140
1010063427400
1142a45a6a54
121b4a27a860
13c44b97490
146b6753b4c
153dd73b400
hex257d3b748

10063427400 has 144 divisors (see below), whose sum is σ = 36396147060. Its totient is φ = 2477145600.

The previous prime is 10063427399. The next prime is 10063427443. The reversal of 10063427400 is 472436001.

10063427400 is a `hidden beast` number, since 1 + 0 + 0 + 634 + 27 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 299220804 + 9764206596 = 17298^2 + 98814^2 .

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 35 ways as a sum of consecutive naturals, for example, 191631 + ... + 238430.

Almost surely, 210063427400 is an apocalyptic number.

10063427400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10063427400 is an abundant number, since it is smaller than the sum of its proper divisors (26332719660).

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

10063427400 is a wasteful number, since it uses less digits than its factorization.

10063427400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430096 (or 430084 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10063427400 in words is "ten billion, sixty-three million, four hundred twenty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 430061 860122 1290183 1720244 2150305 2580366 3440488 3870549 4300610 5160732 5590793 6450915 7741098 8601220 10321464 10751525 11181586 12901830 15482196 16772379 17202440 19352745 21503050 22363172 25803660 27953965 30964392 32254575 33544758 38705490 43006100 44726344 50317137 51607320 55907930 64509150 67089516 77410980 83861895 86012200 96763725 100634274 111815860 129018300 134179032 139769825 154821960 167723790 193527450 201268548 223631720 251585685 258036600 279539650 335447580 387054900 402537096 419309475 503171370 559079300 670895160 774109800 838618950 1006342740 1118158600 1257928425 1677237900 2012685480 2515856850 3354475800 5031713700 10063427400