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145355656564 = 2259615913799
BaseRepresentation
bin1000011101011111011…
…1110100110101110100
3111220012002022102101201
42013113313310311310
54340142022002224
6150435300102244
713334022460246
oct2072767646564
9456162272351
10145355656564
115671052a198
1224207394984
1310926307651
14706ca30096
153baaecca44
hex21d7df4d74

145355656564 has 12 divisors (see below), whose sum is σ = 258683796000. Its totient is φ = 71446000568.

The previous prime is 145355656561. The next prime is 145355656591. The reversal of 145355656564 is 465656553541.

145355656564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1453556565643 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145355656561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 307956664 + ... + 307957135.

It is an arithmetic number, because the mean of its divisors is an integer number (21556983000).

Almost surely, 2145355656564 is an apocalyptic number.

It is an amenable number.

145355656564 is a deficient number, since it is larger than the sum of its proper divisors (113328139436).

145355656564 is a wasteful number, since it uses less digits than its factorization.

145355656564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615913862 (or 615913860 counting only the distinct ones).

The product of its digits is 32400000, while the sum is 55.

The spelling of 145355656564 in words is "one hundred forty-five billion, three hundred fifty-five million, six hundred fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 59 118 236 615913799 1231827598 2463655196 36338914141 72677828282 145355656564