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17930710974 = 23112411374397
BaseRepresentation
bin10000101100110000…
…001110111110111110
31201021121210111100110
4100230300032332332
5243210230222344
612123125210450
71203224346201
oct205460167676
951247714313
1017930710974
117671467600
123584b60a26
1318c9a80567
14c21551938
156ee26d3b9
hex42cc0efbe

17930710974 has 96 divisors (see below), whose sum is σ = 40683329568. Its totient is φ = 5261132800.

The previous prime is 17930710939. The next prime is 17930710979. The reversal of 17930710974 is 47901703971.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17930710979) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4075744 + ... + 4080140.

It is an arithmetic number, because the mean of its divisors is an integer number (423784683).

Almost surely, 217930710974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17930710974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20341664784).

17930710974 is an abundant number, since it is smaller than the sum of its proper divisors (22752618594).

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

17930710974 is a wasteful number, since it uses less digits than its factorization.

17930710974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 48.

The spelling of 17930710974 in words is "seventeen billion, nine hundred thirty million, seven hundred ten thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 137 242 246 274 363 411 451 726 822 902 1353 1507 2706 3014 4397 4521 4961 5617 8794 9042 9922 11234 13191 14883 16577 16851 26382 29766 33154 33702 48367 49731 61787 96734 99462 123574 145101 180277 185361 290202 360554 370722 532037 540831 602389 679657 1064074 1081662 1204778 1359314 1596111 1807167 1983047 2038971 3192222 3614334 3966094 4077942 5949141 6626279 11898282 13252558 19878837 21813517 24697949 39757674 43627034 49395898 65440551 72889069 74093847 130881102 145778138 148187694 218667207 271677439 437334414 543354878 815032317 1630064634 2988451829 5976903658 8965355487 17930710974