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10643430630 = 235737913093
BaseRepresentation
bin10011110100110010…
…11101110011100110
31000110202111022000110
421322121131303212
5133244204240010
64520045353450
7524516445000
oct117231356346
930422438013
1010643430630
114571a36a68
122090568886
1310080b1261
1472d7b3370
15424609120
hex27a65dce6

10643430630 has 128 divisors (see below), whose sum is σ = 30168576000. Its totient is φ = 2401805952.

The previous prime is 10643430617. The next prime is 10643430661. The reversal of 10643430630 is 3603434601.

It is a super-2 number, since 2×106434306302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 806364 + ... + 819456.

It is an arithmetic number, because the mean of its divisors is an integer number (235692000).

Almost surely, 210643430630 is an apocalyptic number.

10643430630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10643430630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15084288000).

10643430630 is an abundant number, since it is smaller than the sum of its proper divisors (19525145370).

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

10643430630 is a wasteful number, since it uses less digits than its factorization.

10643430630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13203 (or 13189 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 10643430630 in words is "ten billion, six hundred forty-three million, four hundred thirty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 79 98 105 147 158 210 237 245 294 343 395 474 490 553 686 735 790 1029 1106 1185 1470 1659 1715 2058 2370 2765 3318 3430 3871 5145 5530 7742 8295 10290 11613 13093 16590 19355 23226 26186 27097 38710 39279 54194 58065 65465 78558 81291 91651 116130 130930 135485 162582 183302 196395 270970 274953 392790 406455 458255 549906 641557 812910 916510 1034347 1283114 1374765 1924671 2068694 2749530 3103041 3207785 3849342 4490899 5171735 6206082 6415570 7240429 8981798 9623355 10343470 13472697 14480858 15515205 19246710 21721287 22454495 26945394 31030410 36202145 43442574 44908990 50683003 67363485 72404290 101366006 108606435 134726970 152049009 217212870 253415015 304098018 354781021 506830030 709562042 760245045 1064343063 1520490090 1773905105 2128686126 3547810210 5321715315 10643430630