Search a number
-
+
211191439380 = 223537299931721
BaseRepresentation
bin1100010010101111111…
…1011010000000010100
3202012010021221201012020
43010223333122000110
511430010002030010
6241004153253140
721154343421105
oct3045377320024
9665107851166
10211191439380
1181625075259
1234b1b7041b0
1316bb8ac445c
14a3165863ac
155760c2b470
hex312bfda014

211191439380 has 96 divisors (see below), whose sum is σ = 607539744000. Its totient is φ = 54775618560.

The previous prime is 211191439307. The next prime is 211191439391. The reversal of 211191439380 is 83934191112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6641920 + ... + 6673640.

It is an arithmetic number, because the mean of its divisors is an integer number (6328539000).

Almost surely, 2211191439380 is an apocalyptic number.

211191439380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211191439380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303769872000).

211191439380 is an abundant number, since it is smaller than the sum of its proper divisors (396348304620).

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

211191439380 is a wasteful number, since it uses less digits than its factorization.

211191439380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34769 (or 34767 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 211191439380 in words is "two hundred eleven billion, one hundred ninety-one million, four hundred thirty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2999 5998 8997 11996 14995 17994 29990 31721 35988 44985 59980 63442 89970 95163 110963 126884 158605 179940 190326 221926 317210 332889 380652 443852 475815 554815 634420 665778 951630 1109630 1173677 1331556 1664445 1903260 2219260 2347354 3328890 3521031 4694708 5868385 6657780 7042062 11736770 14084124 17605155 23473540 35210310 70420620 95131279 190262558 285393837 380525116 475656395 570787674 951312790 1141575348 1426969185 1902625580 2853938370 3519857323 5707876740 7039714646 10559571969 14079429292 17599286615 21119143938 35198573230 42238287876 52797859845 70397146460 105595719690 211191439380