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5582772972 = 22327371733461
BaseRepresentation
bin1010011001100001…
…00101101011101100
3112102001222020210100
411030300211223230
542413142213342
62321550111100
7255226534020
oct51460455354
915361866710
105582772972
112405369a67
1210b97ab490
136ac80527a
143ad642380
1522a1bee4c
hex14cc25aec

5582772972 has 144 divisors (see below), whose sum is σ = 16664461632. Its totient is φ = 1542551040.

The previous prime is 5582772961. The next prime is 5582772973. The reversal of 5582772972 is 2792772855.

It is not an unprimeable number, because it can be changed into a prime (5582772973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1611322 + ... + 1614782.

It is an arithmetic number, because the mean of its divisors is an integer number (115725428).

Almost surely, 25582772972 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 5582772972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332230816).

5582772972 is an abundant number, since it is smaller than the sum of its proper divisors (11081688660).

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

5582772972 is a wasteful number, since it uses less digits than its factorization.

5582772972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3683 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The square root of 5582772972 is about 74717.9561551305. The cubic root of 5582772972 is about 1773.9851869727.

The spelling of 5582772972 in words is "five billion, five hundred eighty-two million, seven hundred seventy-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 173 222 252 259 333 346 444 518 519 666 692 777 1036 1038 1211 1332 1554 1557 2076 2331 2422 3108 3114 3461 3633 4662 4844 6228 6401 6922 7266 9324 10383 10899 12802 13844 14532 19203 20766 21798 24227 25604 31149 38406 41532 43596 44807 48454 57609 62298 72681 76812 89614 96908 115218 124596 128057 134421 145362 179228 218043 230436 256114 268842 290724 384171 403263 436086 512228 537684 598753 768342 806526 872172 896399 1152513 1197506 1536684 1613052 1792798 1796259 2305026 2395012 2689197 3585596 3592518 4191271 4610052 5378394 5388777 7185036 8067591 8382542 10756788 10777554 12573813 16135182 16765084 21555108 22153861 25147626 32270364 37721439 44307722 50295252 66461583 75442878 88615444 132923166 150885756 155077027 199384749 265846332 310154054 398769498 465231081 620308108 797538996 930462162 1395693243 1860924324 2791386486 5582772972