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17930966634 = 23271918141381
BaseRepresentation
bin10000101100110001…
…001101011001101010
31201021122021111001100
4100230301031121222
5243210311413014
612123134502230
71203226462440
oct205461153152
951248244040
1017930966634
117671621699
123585064976
1318c9b3ca39
14c215bab90
156ee2be009
hex42cc4d66a

17930966634 has 96 divisors (see below), whose sum is σ = 46996709760. Its totient is φ = 4826563200.

The previous prime is 17930966611. The next prime is 17930966639. The reversal of 17930966634 is 43666903971.

It is not an unprimeable number, because it can be changed into a prime (17930966639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412624 + ... + 454004.

It is an arithmetic number, because the mean of its divisors is an integer number (489549060).

Almost surely, 217930966634 is an apocalyptic number.

17930966634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17930966634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23498354880).

17930966634 is an abundant number, since it is smaller than the sum of its proper divisors (29065743126).

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

17930966634 is a wasteful number, since it uses less digits than its factorization.

17930966634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41596 (or 41593 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 17930966634 in words is "seventeen billion, nine hundred thirty million, nine hundred sixty-six thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 181 266 342 362 399 543 798 1086 1197 1267 1629 2394 2534 3258 3439 3801 6878 7602 10317 11403 20634 22806 24073 30951 41381 48146 61902 72219 82762 124143 144438 216657 248286 289667 372429 433314 579334 744858 786239 869001 1572478 1738002 2358717 2607003 4717434 5214006 5503673 7076151 7489961 11007346 14152302 14979922 16511019 22469883 33022038 44939766 49533057 52429727 67409649 99066114 104859454 134819298 142309259 157289181 284618518 314578362 426927777 471867543 853855554 943735086 996164813 1280783331 1992329626 2561566662 2988494439 5976988878 8965483317 17930966634