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4972532160 = 263519726293
BaseRepresentation
bin1001010000110001…
…01101000111000000
3110211112200210202210
410220120231013000
540140432012120
62141230342120
7234136553211
oct45030550700
913745623683
104972532160
112121957012
12b6935a940
1361326232b
14352591408
151e182cce0
hex12862d1c0

4972532160 has 112 divisors (see below), whose sum is σ = 15868534176. Its totient is φ = 1319227392.

The previous prime is 4972532143. The next prime is 4972532197. The reversal of 4972532160 is 612352794.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175974 + ... + 202266.

Almost surely, 24972532160 is an apocalyptic number.

4972532160 is a gapful number since it is divisible by the number (40) 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 4972532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7934267088).

4972532160 is an abundant number, since it is smaller than the sum of its proper divisors (10896002016).

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

4972532160 is a wasteful number, since it uses less digits than its factorization.

4972532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26510 (or 26500 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 4972532160 is about 70516.1836743878. The cubic root of 4972532160 is about 1706.8389054142.

The spelling of 4972532160 in words is "four billion, nine hundred seventy-two million, five hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 197 240 320 394 480 591 788 960 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 6304 7880 9456 11820 12608 15760 18912 23640 26293 31520 37824 47280 52586 63040 78879 94560 105172 131465 157758 189120 210344 262930 315516 394395 420688 525860 631032 788790 841376 1051720 1262064 1577580 1682752 2103440 2524128 3155160 4206880 5048256 5179721 6310320 8413760 10359442 12620640 15539163 20718884 25241280 25898605 31078326 41437768 51797210 62156652 77695815 82875536 103594420 124313304 155391630 165751072 207188840 248626608 310783260 331502144 414377680 497253216 621566520 828755360 994506432 1243133040 1657510720 2486266080 4972532160