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34670198718 = 23317712112521
BaseRepresentation
bin100000010010100000…
…010011111110111110
310022111020002120122000
4200102200103332332
51032001032324333
623532142403130
72335105553361
oct402240237676
9108436076560
1034670198718
11137814724a1
126876b904a6
133366ac04ac
14196c7ba0d8
15d7db36713
hex812813fbe

34670198718 has 128 divisors (see below), whose sum is σ = 83150945280. Its totient is φ = 10668672000.

The previous prime is 34670198699. The next prime is 34670198747. The reversal of 34670198718 is 81789107643.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13751298 + ... + 13753818.

It is an arithmetic number, because the mean of its divisors is an integer number (649616760).

Almost surely, 234670198718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34670198718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41575472640).

34670198718 is an abundant number, since it is smaller than the sum of its proper divisors (48480746562).

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

34670198718 is a wasteful number, since it uses less digits than its factorization.

34670198718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 34670198718 in words is "thirty-four billion, six hundred seventy million, one hundred ninety-eight thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 71 102 142 153 211 213 306 422 426 459 633 639 918 1207 1266 1278 1899 1917 2414 2521 3587 3621 3798 3834 5042 5697 7174 7242 7563 10761 10863 11394 14981 15126 21522 21726 22689 29962 32283 32589 42857 44943 45378 64566 65178 68067 85714 89886 96849 128571 134829 136134 178991 193698 254677 257142 269658 357982 385713 404487 509354 531931 536973 764031 771426 808974 1063862 1073946 1157139 1528062 1595793 1610919 2292093 2314278 3042847 3191586 3221838 4584186 4787379 4832757 6085694 6876279 9042827 9128541 9574758 9665514 13752558 14362137 18085654 18257082 27128481 27385623 28724274 37767101 54256962 54771246 75534202 81385443 82156869 113301303 162770886 164313738 226602606 244156329 339903909 488312658 642040717 679807818 1019711727 1284081434 1926122151 2039423454 3852244302 5778366453 11556732906 17335099359 34670198718