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1378345518 = 2331123233433
BaseRepresentation
bin101001000100111…
…1110001000101110
310120001121012121000
41102021332020232
510310324024033
6344434421130
746104513024
oct12211761056
93501535530
101378345518
11648049430
123257317a6
1318c739284
14d10b6714
1581018a13
hex5227e22e

1378345518 has 128 divisors (see below), whose sum is σ = 3509775360. Its totient is φ = 396887040.

The previous prime is 1378345517. The next prime is 1378345531. The reversal of 1378345518 is 8155438731.

It is a happy number.

1378345518 is a `hidden beast` number, since 13 + 7 + 83 + 4 + 551 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378345513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3183030 + ... + 3183462.

It is an arithmetic number, because the mean of its divisors is an integer number (27420120).

Almost surely, 21378345518 is an apocalyptic number.

1378345518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1378345518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754887680).

1378345518 is an abundant number, since it is smaller than the sum of its proper divisors (2131429842).

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

1378345518 is a wasteful number, since it uses less digits than its factorization.

1378345518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 705 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1378345518 is about 37126.0759844075. The cubic root of 1378345518 is about 1112.8911773057.

It can be divided in two parts, 137 and 8345518, that added together give a triangular number (8345655 = T4085).

The spelling of 1378345518 in words is "one billion, three hundred seventy-eight million, three hundred forty-five thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 233 253 297 414 433 466 506 594 621 699 759 866 1242 1299 1398 1518 2097 2277 2563 2598 3897 4194 4554 4763 5126 5359 6291 6831 7689 7794 9526 9959 10718 11691 12582 13662 14289 15378 16077 19918 23067 23382 28578 29877 32154 42867 46134 48231 58949 59754 69201 85734 89631 96462 100889 109549 117898 128601 138402 144693 176847 179262 201778 219098 257202 268893 289386 302667 328647 353694 530541 537786 605334 657294 908001 985941 1061082 1109779 1591623 1816002 1971882 2219558 2320447 2724003 2957823 3183246 3329337 4640894 5448006 5915646 6658674 6961341 9988011 13922682 19976022 20884023 25524917 29964033 41768046 51049834 59928066 62652069 76574751 125304138 153149502 229724253 459448506 689172759 1378345518