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4954327380 = 2232537977669
BaseRepresentation
bin1001001110100110…
…10000100101010100
3110210021102220111200
410213103100211110
540121301434010
62135340232500
7233526042102
oct44723204524
913707386450
104954327380
112112652542
12b6323b730
1360c55a082
1434ddb2c72
151dee33cc0
hex1274d0954

4954327380 has 144 divisors (see below), whose sum is σ = 15595441680. Its totient is φ = 1272029184.

The previous prime is 4954327379. The next prime is 4954327393. The reversal of 4954327380 is 837234594.

4954327380 is a `hidden beast` number, since 4 + 9 + 543 + 27 + 3 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 784784196 + 4169543184 = 28014^2 + 64572^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642186 + ... + 649854.

Almost surely, 24954327380 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 4954327380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797720840).

4954327380 is an abundant number, since it is smaller than the sum of its proper divisors (10641114300).

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

4954327380 is a wasteful number, since it uses less digits than its factorization.

4954327380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7818 (or 7813 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4954327380 is about 70386.9830295347. The cubic root of 4954327380 is about 1704.7534070033.

The spelling of 4954327380 in words is "four billion, nine hundred fifty-four million, three hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 97 111 148 180 185 194 222 291 333 370 388 444 485 555 582 666 740 873 970 1110 1164 1332 1455 1665 1746 1940 2220 2910 3330 3492 3589 4365 5820 6660 7178 7669 8730 10767 14356 15338 17460 17945 21534 23007 30676 32301 35890 38345 43068 46014 53835 64602 69021 71780 76690 92028 107670 115035 129204 138042 153380 161505 215340 230070 276084 283753 323010 345105 460140 567506 646020 690210 743893 851259 1135012 1380420 1418765 1487786 1702518 2231679 2553777 2837530 2975572 3405036 3719465 4256295 4463358 5107554 5675060 6695037 7438930 8512590 8926716 10215108 11158395 12768885 13390074 14877860 17025180 22316790 25537770 26780148 27524041 33475185 44633580 51075540 55048082 66950370 82572123 110096164 133900740 137620205 165144246 247716369 275240410 330288492 412860615 495432738 550480820 825721230 990865476 1238581845 1651442460 2477163690 4954327380