Search a number
-
+
21979590480 = 2432530527209
BaseRepresentation
bin10100011110000101…
…011110111101010000
32002201210110212212200
4110132011132331100
5330003233343410
614033002523200
71405450302501
oct243605367520
962653425780
1021979590480
1193599a6711
124314b06500
1320c3857353
1410c718aba8
1588994b3c0
hex51e15ef50

21979590480 has 60 divisors (see below), whose sum is σ = 73814793780. Its totient is φ = 5861223936.

The previous prime is 21979590443. The next prime is 21979590509. The reversal of 21979590480 is 8409597912.

21979590480 is a `hidden beast` number, since 2 + 1 + 9 + 7 + 9 + 590 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2381830416 + 19597760064 = 48804^2 + 139992^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15262885 + ... + 15264324.

It is an arithmetic number, because the mean of its divisors is an integer number (1230246563).

Almost surely, 221979590480 is an apocalyptic number.

21979590480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21979590480 is an abundant number, since it is smaller than the sum of its proper divisors (51835203300).

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

21979590480 is a wasteful number, since it uses less digits than its factorization.

21979590480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30527228 (or 30527219 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 21979590480 in words is "twenty-one billion, nine hundred seventy-nine million, five hundred ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 30527209 61054418 91581627 122108836 152636045 183163254 244217672 274744881 305272090 366326508 457908135 488435344 549489762 610544180 732653016 915816270 1098979524 1221088360 1373724405 1465306032 1831632540 2197959048 2442176720 2747448810 3663265080 4395918096 5494897620 7326530160 10989795240 21979590480