Search a number
-
+
5520013512 = 23313314712143
BaseRepresentation
bin1010010010000010…
…01011100011001000
3112020200212201222220
411021001023203020
542301110413022
62311425014040
7253535224566
oct51101134310
915220781886
105520013512
1123829a3942
1210a0784320
1369c8002b0
143a5186a36
1522492485c
hex14904b8c8

5520013512 has 128 divisors (see below), whose sum is σ = 15668674560. Its totient is φ = 1608572160.

The previous prime is 5520013511. The next prime is 5520013517. The reversal of 5520013512 is 2153100255.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5520013511) 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, 448513 + ... + 460655.

It is an arithmetic number, because the mean of its divisors is an integer number (122411520).

Almost surely, 25520013512 is an apocalyptic number.

5520013512 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 5520013512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834337280).

5520013512 is an abundant number, since it is smaller than the sum of its proper divisors (10148661048).

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

5520013512 is a wasteful number, since it uses less digits than its factorization.

5520013512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12243 (or 12239 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 5520013512 is about 74296.7934166745. The cubic root of 5520013512 is about 1767.3126265030.

Adding to 5520013512 its reverse (2153100255), we get a palindrome (7673113767).

The spelling of 5520013512 in words is "five billion, five hundred twenty million, thirteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 47 52 62 78 93 94 104 124 141 156 186 188 248 282 312 372 376 403 564 611 744 806 1128 1209 1222 1457 1612 1833 2418 2444 2914 3224 3666 4371 4836 4888 5828 7332 8742 9672 11656 12143 14664 17484 18941 24286 34968 36429 37882 48572 56823 72858 75764 97144 113646 145716 151528 157859 227292 291432 315718 376433 454584 473577 570721 631436 752866 947154 1129299 1141442 1262872 1505732 1712163 1894308 2258598 2282884 3011464 3424326 3788616 4517196 4565768 4893629 6848652 7419373 9034392 9787258 13697304 14680887 14838746 17692351 19574516 22258119 29361774 29677492 35384702 39149032 44516238 53077053 58723548 59354984 70769404 89032476 106154106 117447096 141538808 178064952 212308212 230000563 424616424 460001126 690001689 920002252 1380003378 1840004504 2760006756 5520013512