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10490198166 = 233765342499
BaseRepresentation
bin10011100010100001…
…11011100010010110
31000002002011021121000
421301100323202112
5132440442320131
64452533204130
7520646133060
oct116120734226
930062137530
1010490198166
1144a3497168
122049190646
13cb241cc66
147172c6730
15415e3bce6
hex27143b896

10490198166 has 64 divisors (see below), whose sum is σ = 26683200000. Its totient is φ = 2992539168.

The previous prime is 10490198149. The next prime is 10490198197. The reversal of 10490198166 is 66189109401.

10490198166 is a `hidden beast` number, since 10 + 490 + 1 + 98 + 1 + 66 = 666.

It is a super-2 number, since 2×104901981662 (a number of 21 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 31 ways as a sum of consecutive naturals, for example, 225585 + ... + 268083.

It is an arithmetic number, because the mean of its divisors is an integer number (416925000).

Almost surely, 210490198166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10490198166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13341600000).

10490198166 is an abundant number, since it is smaller than the sum of its proper divisors (16193001834).

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

10490198166 is a wasteful number, since it uses less digits than its factorization.

10490198166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43170 (or 43164 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 10490198166 in words is "ten billion, four hundred ninety million, one hundred ninety-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 653 1306 1959 3918 4571 5877 9142 11754 13713 17631 27426 35262 41139 42499 82278 84998 123417 127497 246834 254994 297493 382491 594986 764982 892479 1147473 1784958 2294946 2677437 5354874 8032311 16064622 27751847 55503694 83255541 166511082 194262929 249766623 388525858 499533246 582788787 749299869 1165577574 1498599738 1748366361 3496732722 5245099083 10490198166