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181820357316 = 223313129501679
BaseRepresentation
bin1010100101010101010…
…1100111101011000100
3122101022101002011001000
42221111111213223010
510434332002413231
6215305505133300
716064451352203
oct2512525475304
9571271064030
10181820357316
1170122940614
122b2a332a230
13141b7b11560
148b2b89123a
154ae24336e6
hex2a55567ac4

181820357316 has 48 divisors (see below), whose sum is σ = 507646585600. Its totient is φ = 55944724896.

The previous prime is 181820357311. The next prime is 181820357333. The reversal of 181820357316 is 613753028181.

It is a happy number.

181820357316 is a `hidden beast` number, since 1 + 81 + 8 + 203 + 57 + 316 = 666.

181820357316 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (181820357311) by changing a digit.

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, 64749436 + ... + 64752243.

Almost surely, 2181820357316 is an apocalyptic number.

It is an amenable number.

181820357316 is an abundant number, since it is smaller than the sum of its proper divisors (325826228284).

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

181820357316 is a wasteful number, since it uses less digits than its factorization.

181820357316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129501705 (or 129501697 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 181820357316 in words is "one hundred eighty-one billion, eight hundred twenty million, three hundred fifty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 129501679 259003358 388505037 518006716 777010074 1165515111 1554020148 1683521827 2331030222 3367043654 3496545333 4662060444 5050565481 6734087308 6993090666 10101130962 13986181332 15151696443 20202261924 30303392886 45455089329 60606785772 90910178658 181820357316