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136506427552 = 25111725319013
BaseRepresentation
bin111111100100001101…
…0101100100010100000
3111001100100221000022001
41333020122230202200
54214031121140202
6142413222253344
712601520326615
oct1771032544240
9431310830261
10136506427552
115298a357490
1222557887254
13cb45b66171
14686d66450c
15383e183d87
hex1fc86ac8a0

136506427552 has 96 divisors (see below), whose sum is σ = 310581480384. Its totient is φ = 58368921600.

The previous prime is 136506427549. The next prime is 136506427621. The reversal of 136506427552 is 255724605631.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15140998 + ... + 15150010.

It is an arithmetic number, because the mean of its divisors is an integer number (3235223754).

Almost surely, 2136506427552 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 136506427552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155290740192).

136506427552 is an abundant number, since it is smaller than the sum of its proper divisors (174075052832).

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

136506427552 is a wasteful number, since it uses less digits than its factorization.

136506427552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11582 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 136506427552 in words is "one hundred thirty-six billion, five hundred six million, four hundred twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2531 2992 5062 5984 9013 10124 18026 20248 27841 36052 40496 43027 55682 72104 80992 86054 99143 111364 144208 153221 172108 198286 222728 288416 306442 344216 396572 445456 473297 612884 688432 793144 890912 946594 1225768 1376864 1586288 1685431 1893188 2451536 3172576 3370862 3786376 4903072 6741724 7572752 13483448 15145504 22811903 26966896 45623806 53933792 91247612 182495224 250930933 364990448 387802351 501861866 729980896 775604702 1003723732 1551209404 2007447464 3102418808 4014894928 4265825861 6204837616 8029789856 8531651722 12409675232 17063303444 34126606888 68253213776 136506427552