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8972981550 = 235521356809
BaseRepresentation
bin10000101101101010…
…01101010100101110
3212011100020200200000
420112311031110232
5121334040402200
64042214045130
7435234041031
oct102665152456
925140220600
108972981550
113895017935
1218a50497a6
13acccb0450
146119c1018
15377b41300
hex216d4d52e

8972981550 has 144 divisors (see below), whose sum is σ = 26923849680. Its totient is φ = 2208695040.

The previous prime is 8972981539. The next prime is 8972981561. The reversal of 8972981550 is 551892798.

8972981550 is a `hidden beast` number, since 8 + 9 + 7 + 2 + 9 + 81 + 550 = 666.

8972981550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8972981539) and next prime (8972981561).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129546 + ... + 186354.

Almost surely, 28972981550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8972981550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461924840).

8972981550 is an abundant number, since it is smaller than the sum of its proper divisors (17950868130).

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

8972981550 is a wasteful number, since it uses less digits than its factorization.

8972981550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56849 (or 56832 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The square root of 8972981550 is about 94725.8230368045. The cubic root of 8972981550 is about 2078.0002314298. Note that the first 3 decimals are identical.

The spelling of 8972981550 in words is "eight billion, nine hundred seventy-two million, nine hundred eighty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 243 270 325 351 390 405 450 486 585 650 675 702 810 975 1053 1170 1215 1350 1755 1950 2025 2106 2430 2925 3159 3510 4050 5265 5850 6075 6318 8775 10530 12150 15795 17550 26325 31590 52650 56809 78975 113618 157950 170427 284045 340854 511281 568090 738517 852135 1022562 1420225 1477034 1533843 1704270 2215551 2556405 2840450 3067686 3692585 4260675 4431102 4601529 5112810 6646653 7385170 7669215 8521350 9203058 11077755 12782025 13293306 13804587 15338430 18462925 19939959 22155510 23007645 25564050 27609174 33233265 36925850 38346075 39879918 46015290 55388775 59819877 66466530 69022935 76692150 99699795 110777550 115038225 119639754 138045870 166166325 179459631 199399590 230076450 299099385 332332650 345114675 358919262 498498975 598198770 690229350 897298155 996997950 1495496925 1794596310 2990993850 4486490775 8972981550