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145526226356 = 227257130715473
BaseRepresentation
bin1000011110001000001…
…0011111110110110100
3111220121222021021011102
42013202002133312310
54341014203220411
6150504232025232
713341163341260
oct2074202376664
9456558237142
10145526226356
1156798840865
1224254532218
1310952759114
1470875510a0
153bbae71d3b
hex21e209fdb4

145526226356 has 48 divisors (see below), whose sum is σ = 292427404416. Its totient is φ = 62074159104.

The previous prime is 145526226353. The next prime is 145526226379. The reversal of 145526226356 is 653622625541.

145526226356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145526226356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145526226353) 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, 9397436 + ... + 9412908.

It is an arithmetic number, because the mean of its divisors is an integer number (6092237592).

Almost surely, 2145526226356 is an apocalyptic number.

It is an amenable number.

145526226356 is an abundant number, since it is smaller than the sum of its proper divisors (146901178060).

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

145526226356 is a wasteful number, since it uses less digits than its factorization.

145526226356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17048 (or 17046 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 47.

The spelling of 145526226356 in words is "one hundred forty-five billion, five hundred twenty-six million, two hundred twenty-six thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 257 514 1028 1307 1799 2614 3598 5228 7196 9149 15473 18298 30946 36596 61892 108311 216622 335899 433244 671798 1343596 2351293 3976561 4702586 7953122 9405172 15906244 20223211 27835927 40446422 55671854 80892844 111343708 141562477 283124954 566249908 5197365227 10394730454 20789460908 36381556589 72763113178 145526226356