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55005259024 = 2417234492
BaseRepresentation
bin110011001110100100…
…011010010100010000
312020222102002200012201
4303032210122110100
51400122321242044
641134041332544
73655036662442
oct631644322420
9166872080181
1055005259024
1121367042261
12a7b1197154
135257a20261
14293b3a0492
15166ded97d4
hexcce91a510

55005259024 has 45 divisors (see below), whose sum is σ = 113243268367. Its totient is φ = 25877322752.

The previous prime is 55005259021. The next prime is 55005259033. The reversal of 55005259024 is 42095250055.

The square root of 55005259024 is 234532.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9051619600 + 45953639424 = 95140^2 + 214368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55005259021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15946452 + ... + 15949900.

Almost surely, 255005259024 is an apocalyptic number.

55005259024 is the 234532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55005259024

55005259024 is an abundant number, since it is smaller than the sum of its proper divisors (58238009343).

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

55005259024 is an frugal number, since it uses more digits than its factorization.

55005259024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 55005259024 in words is "fifty-five billion, five million, two hundred fifty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 3449 4624 6898 13796 27592 55184 58633 117266 234532 469064 938128 996761 1993522 3987044 7974088 11895601 15948176 23791202 47582404 95164808 190329616 202225217 404450434 808900868 1617801736 3235603472 3437828689 6875657378 13751314756 27502629512 55005259024