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1378868508 = 2237163967
BaseRepresentation
bin101001000101111…
…1101110100011100
310120002120210000000
41102023331310130
510310442243013
6344453534300
746112121543
oct12213756434
93502523000
101378868508
11648376356
12325944390
1318c890334
14d11b115a
15810bd973
hex522fdd1c

1378868508 has 96 divisors (see below), whose sum is σ = 3644945920. Its totient is φ = 456330672.

The previous prime is 1378868503. The next prime is 1378868567. The reversal of 1378868508 is 8058688731.

It is a happy number.

1378868508 is a `hidden beast` number, since 1 + 3 + 78 + 8 + 68 + 508 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378868503) 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 31 ways as a sum of consecutive naturals, for example, 1425441 + ... + 1426407.

Almost surely, 21378868508 is an apocalyptic number.

1378868508 is a gapful number since it is divisible by the number (18) 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 1378868508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822472960).

1378868508 is an abundant number, since it is smaller than the sum of its proper divisors (2266077412).

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

1378868508 is an equidigital number, since it uses as much as digits as its factorization.

1378868508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 1378868508 is about 37133.1187486319. The cubic root of 1378868508 is about 1113.0319154469.

The spelling of 1378868508 in words is "one billion, three hundred seventy-eight million, eight hundred sixty-eight thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 243 324 326 486 489 652 729 967 972 978 1458 1467 1934 1956 2187 2901 2916 2934 3868 4374 4401 5802 5868 8703 8748 8802 11604 13203 17406 17604 26109 26406 34812 39609 52218 52812 78327 79218 104436 118827 156654 157621 158436 234981 237654 313308 315242 356481 469962 472863 475308 630484 704943 712962 939924 945726 1409886 1418589 1425924 1891452 2114829 2819772 2837178 4229658 4255767 5674356 8459316 8511534 12767301 17023068 25534602 38301903 51069204 76603806 114905709 153207612 229811418 344717127 459622836 689434254 1378868508