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18752000970 = 2352342164553
BaseRepresentation
bin10001011101101101…
…001101001111001010
31210101212012100102110
4101131231031033022
5301401003012340
612340424243150
71232456243523
oct213555151712
953355170373
1018752000970
117a5301996a
1237740104b6
1319cac78a81
14c9c65d84a
1574b3ed680
hex45db4d3ca

18752000970 has 64 divisors (see below), whose sum is σ = 47073809664. Its totient is φ = 4771683840.

The previous prime is 18752000941. The next prime is 18752001017. The reversal of 18752000970 is 7900025781.

18752000970 is a nontrivial binomial coefficient, being equal to C(193660, 2).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 258214 + ... + 322766.

It is an arithmetic number, because the mean of its divisors is an integer number (735528276).

Almost surely, 218752000970 is an apocalyptic number.

18752000970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18752000970 is the 193659-th triangular number and also the 96830-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18752000970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23536904832).

18752000970 is an abundant number, since it is smaller than the sum of its proper divisors (28321808694).

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

18752000970 is a wasteful number, since it uses less digits than its factorization.

18752000970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65007.

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 18752000970 in words is "eighteen billion, seven hundred fifty-two million, nine hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 421 690 842 1263 2105 2526 4210 6315 9683 12630 19366 29049 48415 58098 64553 96830 129106 145245 193659 290490 322765 387318 645530 968295 1484719 1936590 2969438 4454157 7423595 8908314 14847190 22270785 27176813 44541570 54353626 81530439 135884065 163060878 271768130 407652195 625066699 815304390 1250133398 1875200097 3125333495 3750400194 6250666990 9376000485 18752000970