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1345189038688 = 251143113786491
BaseRepresentation
bin10011100100110011100…
…000111100101001100000
311202121011112111110121201
4103210303200330221200
5134014421343214223
62505545445330544
7166121016112015
oct23446340745140
94677145443551
101345189038688
11479545163860
12198859106a54
1399b0a2255a1
1449170d8570c
1524ed1254ead
hex1393383ca60

1345189038688 has 96 divisors (see below), whose sum is σ = 2982453167232. Its totient is φ = 591943833600.

The previous prime is 1345189038673. The next prime is 1345189038821. The reversal of 1345189038688 is 8868309815431.

It is a super-2 number, since 2×13451890386882 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317123 + ... + 2103613.

It is an arithmetic number, because the mean of its divisors is an integer number (31067220492).

Almost surely, 21345189038688 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 1345189038688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491226583616).

1345189038688 is an abundant number, since it is smaller than the sum of its proper divisors (1637264128544).

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

1345189038688 is a wasteful number, since it uses less digits than its factorization.

1345189038688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786668 (or 786660 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 64.

The spelling of 1345189038688 in words is "one trillion, three hundred forty-five billion, one hundred eighty-nine million, thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 113 172 176 226 344 352 452 473 688 904 946 1243 1376 1808 1892 2486 3616 3784 4859 4972 7568 9718 9944 15136 19436 19888 38872 39776 53449 77744 106898 155488 213796 427592 786491 855184 1572982 1710368 3145964 6291928 8651401 12583856 17302802 25167712 33819113 34605604 67638226 69211208 88873483 135276452 138422416 177746966 270552904 276844832 355493932 372010243 541105808 710987864 744020486 977608313 1082211616 1421975728 1488040972 1955216626 2843951456 2976081944 3821559769 3910433252 5952163888 7643119538 7820866504 11904327776 15286239076 15641733008 30572478152 31283466016 42037157459 61144956304 84074314918 122289912608 168148629836 336297259672 672594519344 1345189038688