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1378675872 = 253271935993
BaseRepresentation
bin101001000101100…
…1110110010100000
310120002012222202100
41102023032302200
510310420111442
6344445450400
746110360120
oct12213166240
93502188670
101378675872
11648254652
12325870a00
1318c823752
14d1160c80
158108184c
hex522ceca0

1378675872 has 144 divisors (see below), whose sum is σ = 4716653760. Its totient is φ = 373165056.

The previous prime is 1378675829. The next prime is 1378675937. The reversal of 1378675872 is 2785768731.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20308 + ... + 56300.

It is an arithmetic number, because the mean of its divisors is an integer number (32754540).

Almost surely, 21378675872 is an apocalyptic number.

1378675872 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 1378675872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358326880).

1378675872 is an abundant number, since it is smaller than the sum of its proper divisors (3337977888).

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

1378675872 is a wasteful number, since it uses less digits than its factorization.

1378675872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36035 (or 36024 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 1378675872 is about 37130.5248010313. The cubic root of 1378675872 is about 1112.9800806756.

The spelling of 1378675872 in words is "one billion, three hundred seventy-eight million, six hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 35993 38304 71986 107979 143972 215958 251951 287944 323937 431916 503902 575888 647874 683867 755853 863832 1007804 1151776 1295748 1367734 1511706 1727664 2015608 2051601 2267559 2591496 2735468 3023412 3455328 4031216 4103202 4535118 4787069 5182992 5470936 6046824 6154803 8062432 8206404 9070236 9574138 10365984 10941872 12093648 12309606 14361207 16412808 18140472 19148276 21883744 24187296 24619212 28722414 32825616 36280944 38296552 43083621 49238424 57444828 65651232 72561888 76593104 86167242 98476848 114889656 153186208 172334484 196953696 229779312 344668968 459558624 689337936 1378675872