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5578426677252 = 22311213809365303
BaseRepresentation
bin101000100101101010000…
…1000111111100000000100
3201202021220010221211120210
41101023110020333200010
51212344104212133002
615510405511355420
71114012420252362
oct121132410774004
921667803854523
105578426677252
111860885480400
12761177982b70
133160743c1830
14153dd67d6632
159a19364396c
hex512d423f804

5578426677252 has 144 divisors (see below), whose sum is σ = 15426846368640. Its totient is φ = 1558466004480.

The previous prime is 5578426677227. The next prime is 5578426677259. The reversal of 5578426677252 is 2527766248755.

It is a happy number.

It is a super-2 number, since 2×55784266772522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (5578426677259) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15088033 + ... + 15453335.

It is an arithmetic number, because the mean of its divisors is an integer number (107130877560).

Almost surely, 25578426677252 is an apocalyptic number.

5578426677252 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5578426677252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713423184320).

5578426677252 is an abundant number, since it is smaller than the sum of its proper divisors (9848419691388).

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

5578426677252 is a wasteful number, since it uses less digits than its factorization.

5578426677252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366154 (or 366141 counting only the distinct ones).

The product of its digits is 395136000, while the sum is 66.

The spelling of 5578426677252 in words is "five trillion, five hundred seventy-eight billion, four hundred twenty-six million, six hundred seventy-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 809 858 1452 1573 1618 1716 2427 3146 3236 4719 4854 6292 8899 9438 9708 10517 17798 18876 21034 26697 31551 35596 42068 53394 63102 97889 106788 115687 126204 195778 231374 293667 347061 365303 391556 462748 587334 694122 730606 1095909 1174668 1272557 1388244 1461212 2191818 2545114 3817671 4018333 4383636 4748939 5090228 7635342 8036666 9497878 12054999 14246817 15270684 16073332 18995756 24109998 28493634 44201663 48219996 52238329 56987268 88403326 104476658 132604989 156714987 176806652 208953316 265209978 295530127 313429974 530419956 574621619 591060254 626859948 886590381 1149243238 1182120508 1723864857 1773180762 2298486476 3250831397 3447729714 3546361524 3841891651 6501662794 6895459428 7683783302 9752494191 11525674953 13003325588 15367566604 19504988382 23051349906 35759145367 39009976764 42260808161 46102699812 71518290734 84521616322 107277436101 126782424483 143036581468 169043232644 214554872202 253564848966 429109744404 464868889771 507129697932 929737779542 1394606669313 1859475559084 2789213338626 5578426677252