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8371711980 = 22325196140129
BaseRepresentation
bin1111100101111111…
…00010111111101100
3210121102212000212200
413302333202333230
5114121124240410
63502414501500
7414313243362
oct76277427754
923542760780
108371711980
113606682135
121757804890
13a3555ba38
14595bc7632
1533ee723c0
hex1f2fe2fec

8371711980 has 144 divisors (see below), whose sum is σ = 27169615200. Its totient is φ = 2080235520.

The previous prime is 8371711979. The next prime is 8371711981. The reversal of 8371711980 is 891171738.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8371711979) and next prime (8371711981).

It is a super-2 number, since 2×83717119802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8371711981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188556 + ... + 228684.

Almost surely, 28371711980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8371711980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584807600).

8371711980 is an abundant number, since it is smaller than the sum of its proper divisors (18797903220).

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

8371711980 is a wasteful number, since it uses less digits than its factorization.

8371711980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40224 (or 40219 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The square root of 8371711980 is about 91497.0599527657. The cubic root of 8371711980 is about 2030.5082552096.

The spelling of 8371711980 in words is "eight billion, three hundred seventy-one million, seven hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 61 76 90 95 114 122 171 180 183 190 228 244 285 305 342 366 380 549 570 610 684 732 855 915 1098 1140 1159 1220 1710 1830 2196 2318 2745 3420 3477 3660 4636 5490 5795 6954 10431 10980 11590 13908 17385 20862 23180 34770 40129 41724 52155 69540 80258 104310 120387 160516 200645 208620 240774 361161 401290 481548 601935 722322 762451 802580 1203870 1444644 1524902 1805805 2287353 2407740 2447869 3049804 3611610 3812255 4574706 4895738 6862059 7223220 7343607 7624510 9149412 9791476 11436765 12239345 13724118 14687214 15249020 22030821 22873530 24478690 27448236 29374428 34310295 36718035 44061642 45747060 46509511 48957380 68620590 73436070 88123284 93019022 110154105 137241180 139528533 146872140 186038044 220308210 232547555 279057066 418585599 440616420 465095110 558114132 697642665 837171198 930190220 1395285330 1674342396 2092927995 2790570660 4185855990 8371711980