Search a number
-
+
53488558240 = 2551353485201
BaseRepresentation
bin110001110100001010…
…101010000010100000
312010001201011021212121
4301310022222002200
51334021032330430
640323341234024
73602332146325
oct616412520240
9163051137777
1053488558240
1120758995537
12a449262914
135075731480
142835b90b4c
1515d0c91a7a
hexc742aa0a0

53488558240 has 96 divisors (see below), whose sum is σ = 138655205136. Its totient is φ = 19376947200.

The previous prime is 53488558223. The next prime is 53488558309. The reversal of 53488558240 is 4285588435.

It can be written as a sum of positive squares in 8 ways, for example, as 27938453904 + 25550104336 = 167148^2 + 159844^2 .

It is a super-2 number, since 2×534885582402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132361 + ... + 352840.

Almost surely, 253488558240 is an apocalyptic number.

It is an amenable number.

53488558240 is an abundant number, since it is smaller than the sum of its proper divisors (85166646896).

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

53488558240 is a wasteful number, since it uses less digits than its factorization.

53488558240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485282 (or 485274 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 52.

The spelling of 53488558240 in words is "fifty-three billion, four hundred eighty-eight million, five hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 65 80 104 106 130 160 208 212 260 265 416 424 520 530 689 848 1040 1060 1378 1696 2080 2120 2756 3445 4240 5512 6890 8480 11024 13780 22048 27560 55120 110240 485201 970402 1940804 2426005 3881608 4852010 6307613 7763216 9704020 12615226 15526432 19408040 25230452 25715653 31538065 38816080 50460904 51431306 63076130 77632160 100921808 102862612 126152260 128578265 201843616 205725224 252304520 257156530 334303489 411450448 504609040 514313060 668606978 822900896 1009218080 1028626120 1337213956 1671517445 2057252240 2674427912 3343034890 4114504480 5348855824 6686069780 10697711648 13372139560 26744279120 53488558240