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12890010552 = 23319318531069
BaseRepresentation
bin11000000000100110…
…11111001110111000
31020021022211101022020
430000103133032320
5202344320314202
65531021354440
7634266165456
oct140023371670
936238741266
1012890010552
115515090791
1225b8a08a20
1312a56713a3
148a3cd79d6
155069775bc
hex3004df3b8

12890010552 has 128 divisors (see below), whose sum is σ = 35089152000. Its totient is φ = 3930923520.

The previous prime is 12890010491. The next prime is 12890010559. The reversal of 12890010552 is 25501009821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12890010559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12057474 + ... + 12058542.

It is an arithmetic number, because the mean of its divisors is an integer number (274134000).

Almost surely, 212890010552 is an apocalyptic number.

12890010552 is a gapful number since it is divisible by the number (12) 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 12890010552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17544576000).

12890010552 is an abundant number, since it is smaller than the sum of its proper divisors (22199141448).

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

12890010552 is a wasteful number, since it uses less digits than its factorization.

12890010552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 12890010552 in words is "twelve billion, eight hundred ninety million, ten thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 853 1069 1178 1706 1767 2138 2356 2559 3207 3412 3534 4276 4712 5118 6414 6824 7068 8552 10236 12828 14136 16207 20311 20472 25656 26443 32414 33139 40622 48621 52886 60933 64828 66278 79329 81244 97242 99417 105772 121866 129656 132556 158658 162488 194484 198834 211544 243732 265112 317316 388968 397668 487464 502417 629641 634632 795336 911857 1004834 1259282 1507251 1823714 1888923 2009668 2518564 2735571 3014502 3647428 3777846 4019336 5037128 5471142 6029004 7294856 7555692 10942284 12058008 15111384 17325283 21884568 28267567 34650566 51975849 56535134 69301132 84802701 103951698 113070268 138602264 169605402 207903396 226140536 339210804 415806792 537083773 678421608 1074167546 1611251319 2148335092 3222502638 4296670184 6445005276 12890010552