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132215321056 = 25713211215183
BaseRepresentation
bin111101100100010100…
…1011011000111100000
3110122021022110012210211
41323020221123013200
54131234110233211
6140423333103504
712360263454220
oct1731051330740
9418238405724
10132215321056
1151088113685
122175a787b94
13c610b3b9b0
1465837b4080
15368c5a9e21
hex1ec8a5b1e0

132215321056 has 96 divisors (see below), whose sum is σ = 321887720448. Its totient is φ = 52056829440.

The previous prime is 132215321027. The next prime is 132215321099. The reversal of 132215321056 is 650123512231.

It is a super-2 number, since 2×1322153210562 (a number of 23 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, 506841 + ... + 722023.

It is an arithmetic number, because the mean of its divisors is an integer number (3352997088).

Almost surely, 2132215321056 is an apocalyptic number.

132215321056 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 132215321056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160943860224).

132215321056 is an abundant number, since it is smaller than the sum of its proper divisors (189672399392).

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

132215321056 is a wasteful number, since it uses less digits than its factorization.

132215321056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215424 (or 215416 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 132215321056 its reverse (650123512231), we get a palindrome (782338833287).

The spelling of 132215321056 in words is "one hundred thirty-two billion, two hundred fifteen million, three hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 211 224 364 416 422 728 844 1456 1477 1688 2743 2912 2954 3376 5486 5908 6752 10972 11816 19201 21944 23632 38402 43888 47264 76804 87776 153608 215183 307216 430366 614432 860732 1506281 1721464 2797379 3012562 3442928 5594758 6025124 6885856 11189516 12050248 19581653 22379032 24100496 39163306 44758064 45403613 48200992 78326612 89516128 90807226 156653224 181614452 313306448 317825291 363228904 590246969 626612896 635650582 726457808 1180493938 1271301164 1452915616 2360987876 2542602328 4131728783 4721975752 5085204656 8263457566 9443951504 10170409312 16526915132 18887903008 33053830264 66107660528 132215321056