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130703213536 = 2575914097019
BaseRepresentation
bin111100110111010000…
…1001100001111100000
3110111100221011012020121
41321232201030033200
54120140010313121
6140013315250024
712304642661410
oct1715641141740
9414327135217
10130703213536
1150481613945
12213b82a9914
13c42c79a80c
14647ca3c640
1535ee96d141
hex1e6e84c3e0

130703213536 has 96 divisors (see below), whose sum is σ = 299321568000. Its totient is φ = 55019323392.

The previous prime is 130703213497. The next prime is 130703213549. The reversal of 130703213536 is 635312307031.

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, 18617835 + ... + 18624853.

It is an arithmetic number, because the mean of its divisors is an integer number (3117933000).

Almost surely, 2130703213536 is an apocalyptic number.

130703213536 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 130703213536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149660784000).

130703213536 is an abundant number, since it is smaller than the sum of its proper divisors (168618354464).

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

130703213536 is a wasteful number, since it uses less digits than its factorization.

130703213536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 34.

The spelling of 130703213536 in words is "one hundred thirty billion, seven hundred three million, two hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1409 1652 1888 2818 3304 5636 6608 7019 9863 11272 13216 14038 19726 22544 28076 39452 45088 49133 56152 78904 83131 98266 112304 157808 166262 196532 224608 315616 332524 393064 414121 581917 665048 786128 828242 1163834 1330096 1572256 1656484 2327668 2660192 2898847 3312968 4655336 5797694 6625936 9310672 9889771 11595388 13251872 18621344 19779542 23190776 39559084 46381552 69228397 79118168 92763104 138456794 158236336 276913588 316472672 553827176 583496489 1107654352 1166992978 2215308704 2333985956 4084475423 4667971912 8168950846 9335943824 16337901692 18671887648 32675803384 65351606768 130703213536