Search a number
-
+
13841962552 = 23113767107593
BaseRepresentation
bin11001110010000101…
…11001011000111000
31022201200002112221201
430321002321120320
5211322020300202
610205305143544
71000005511645
oct147102713070
938650075851
1013841962552
115963477380
12282378abb4
1313c79577b2
149544d8dcc
15560317387
hex3390b9638

13841962552 has 128 divisors (see below), whose sum is σ = 29838378240. Its totient is φ = 5963950080.

The previous prime is 13841962529. The next prime is 13841962577. The reversal of 13841962552 is 25526914831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23341968 + ... + 23342560.

It is an arithmetic number, because the mean of its divisors is an integer number (233112330).

Almost surely, 213841962552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13841962552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14919189120).

13841962552 is an abundant number, since it is smaller than the sum of its proper divisors (15996415688).

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

13841962552 is a wasteful number, since it uses less digits than its factorization.

13841962552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 817 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The spelling of 13841962552 in words is "thirteen billion, eight hundred forty-one million, nine hundred sixty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 22 37 44 67 74 88 107 134 148 214 268 296 407 428 536 593 737 814 856 1177 1186 1474 1628 2354 2372 2479 2948 3256 3959 4708 4744 4958 5896 6523 7169 7918 9416 9916 13046 14338 15836 19832 21941 26092 27269 28676 31672 39731 43549 43882 52184 54538 57352 63451 78859 79462 87098 87764 109076 126902 157718 158924 174196 175528 218152 241351 253804 265253 315436 317848 348392 437041 482702 507608 530506 630872 697961 874082 965404 1061012 1395922 1470047 1748164 1930808 2122024 2347687 2791844 2917783 2940094 3496328 4251217 4695374 5583688 5835566 5880188 8502434 9390748 11671132 11760376 16170517 17004868 18781496 23342264 25824557 32341034 34009736 46763387 51649114 64682068 93526774 103298228 129364136 157295029 187053548 206596456 314590058 374107096 629180116 1258360232 1730245319 3460490638 6920981276 13841962552