Search a number
-
+
15189709115008 = 27376317436841
BaseRepresentation
bin1101110100001010000100…
…1101110100111010000000
31222210010021221111221102101
43131002201031310322000
53442332011013140013
652150020034200144
73125264103104341
oct335024115647200
958703257457371
1015189709115008
114926a1288954a
121853a4aa23054
138624ca4c549c
143a7285d540c8
151b51bc41c8dd
hexdd0a1374e80

15189709115008 has 128 divisors (see below), whose sum is σ = 31174310787840. Its totient is φ = 7366870425600.

The previous prime is 15189709114973. The next prime is 15189709115023. The reversal of 15189709115008 is 80051190798151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 15189709115008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2220389668 + ... + 2220396508.

It is an arithmetic number, because the mean of its divisors is an integer number (243549303030).

Almost surely, 215189709115008 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 15189709115008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587155393920).

15189709115008 is an abundant number, since it is smaller than the sum of its proper divisors (15984601672832).

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

15189709115008 is an equidigital number, since it uses as much as digits as its factorization.

15189709115008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 55.

The spelling of 15189709115008 in words is "fifteen trillion, one hundred eighty-nine billion, seven hundred nine million, one hundred fifteen thousand, eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 631 743 1184 1262 1486 2368 2524 2972 4736 5048 5944 6841 10096 11888 13682 20192 23347 23776 27364 27491 40384 46694 47552 54728 54982 80768 93388 95104 109456 109964 186776 218912 219928 253117 373552 437824 439856 468833 506234 747104 875648 879712 937666 1012468 1494208 1759424 1875332 2024936 2988416 3518848 3750664 4049872 4316671 5082863 7501328 8099744 8633342 10165726 15002656 16199488 17266684 17346821 20331452 30005312 32398976 34533368 34693642 40662904 60010624 69066736 69387284 81325808 138133472 138774568 159716827 162651616 188065931 276266944 277549136 319433654 325303232 376131862 552533888 555098272 638867308 650606464 752263724 1110196544 1277734616 1504527448 2220393088 2555469232 3009054896 3207286553 5110938464 6018109792 6414573106 10221876928 12036219584 12829146212 20443753856 24072439168 25658292424 51316584848 102633169696 118669602461 205266339392 237339204922 410532678784 474678409844 949356819688 1898713639376 3797427278752 7594854557504 15189709115008