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103063579136 = 2971131731471
BaseRepresentation
bin101111111111100010…
…0010110101000000000
3100212000200022021202122
41133333010112220000
53142033234013021
6115202522103412
710306003653050
oct1377704265000
9325020267678
10103063579136
113a788781491
1217b8394ab68
13994642506b
144db9c97560
152a3318bbab
hex17ff116a00

103063579136 has 160 divisors (see below), whose sum is σ = 238961276928. Its totient is φ = 43496570880.

The previous prime is 103063579121. The next prime is 103063579139. The reversal of 103063579136 is 631975360301.

It is not an unprimeable number, because it can be changed into a prime (103063579139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70062881 + ... + 70064351.

Almost surely, 2103063579136 is an apocalyptic number.

103063579136 is a gapful number since it is divisible by the number (16) 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 103063579136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119480638464).

103063579136 is an abundant number, since it is smaller than the sum of its proper divisors (135897697792).

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

103063579136 is a wasteful number, since it uses less digits than its factorization.

103063579136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 44.

The spelling of 103063579136 in words is "one hundred three billion, sixty-three million, five hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 173 224 226 256 346 448 452 512 692 791 896 904 1211 1384 1471 1582 1792 1808 2422 2768 2942 3164 3584 3616 4844 5536 5884 6328 7232 9688 10297 11072 11768 12656 14464 19376 19549 20594 22144 23536 25312 28928 38752 39098 41188 44288 47072 50624 57856 77504 78196 82376 88576 94144 101248 136843 155008 156392 164752 166223 188288 202496 254483 273686 310016 312784 329504 332446 376576 404992 508966 547372 620032 625568 659008 664892 753152 1017932 1094744 1163561 1251136 1318016 1329784 1781381 2035864 2189488 2327122 2502272 2636032 2659568 3562762 4071728 4378976 4654244 5004544 5272064 5319136 7125524 8143456 8757952 9308488 10009088 10638272 14251048 16286912 17515904 18616976 21276544 28502096 28756579 32573824 35031808 37233952 42553088 57004192 57513158 65147648 70063616 74467904 85106176 114008384 115026316 130295296 148935808 201296053 228016768 230052632 297871616 402592106 456033536 460105264 595743232 805184212 912067072 920210528 1610368424 1840421056 3220736848 3680842112 6441473696 7361684224 12882947392 14723368448 25765894784 51531789568 103063579136