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4234564980 = 2234510923981
BaseRepresentation
bin1111110001100110…
…0101010101110100
3101221010002012010000
43330121211111310
532133022034410
61540105231300
7206636131332
oct37431452564
911833065100
104234564980
111883335388
129a2192530
135263bb769
142c2572b52
1519bb5adc0
hexfc665574

4234564980 has 120 divisors (see below), whose sum is σ = 13406417640. Its totient is φ = 1118810880.

The previous prime is 4234564963. The next prime is 4234564981. The reversal of 4234564980 is 894654324.

4234564980 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 564 + 9 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 4229421156 = 2268^2 + 65034^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234564981) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164590 + ... + 188570.

It is an arithmetic number, because the mean of its divisors is an integer number (111720147).

Almost surely, 24234564980 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 4234564980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703208820).

4234564980 is an abundant number, since it is smaller than the sum of its proper divisors (9171852660).

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

4234564980 is a wasteful number, since it uses less digits than its factorization.

4234564980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24111 (or 24100 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4234564980 is about 65073.5351736787. The cubic root of 4234564980 is about 1617.8426014595.

The spelling of 4234564980 in words is "four billion, two hundred thirty-four million, five hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 109 135 162 180 218 270 324 327 405 436 540 545 654 810 981 1090 1308 1620 1635 1962 2180 2943 3270 3924 4905 5886 6540 8829 9810 11772 14715 17658 19620 23981 29430 35316 44145 47962 58860 71943 88290 95924 119905 143886 176580 215829 239810 287772 359715 431658 479620 647487 719430 863316 1079145 1294974 1438860 1942461 2158290 2589948 2613929 3237435 3884922 4316580 5227858 6474870 7769844 7841787 9712305 10455716 12949740 13069645 15683574 19424610 23525361 26139290 31367148 38849220 39208935 47050722 52278580 70576083 78417870 94101444 117626805 141152166 156835740 211728249 235253610 282304332 352880415 423456498 470507220 705760830 846912996 1058641245 1411521660 2117282490 4234564980