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152561646432041 = 7211397712961527
BaseRepresentation
bin100010101100000100000110…
…101111011110111100101001
3202000011202021110011120112212
4202230010012233132330221
5124444032222441311131
61300245504113214505
744064133551153200
oct4254040657367451
9660152243146485
10152561646432041
114467a038156340
121513b576861435
136718669b1a372
1429960474c2237
15129872a0b4a2b
hex8ac106bdef29

152561646432041 has 24 divisors (see below), whose sum is σ = 194090942690496. Its totient is φ = 118579761004320.

The previous prime is 152561646432037. The next prime is 152561646432103. The reversal of 152561646432041 is 140234646165251.

It is a happy number.

152561646432041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152561646432041 - 22 = 152561646432037 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152561646432841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356266781 + ... + 356694746.

It is an arithmetic number, because the mean of its divisors is an integer number (8087122612104).

Almost surely, 2152561646432041 is an apocalyptic number.

152561646432041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

152561646432041 is a deficient number, since it is larger than the sum of its proper divisors (41529296258455).

152561646432041 is a wasteful number, since it uses less digits than its factorization.

152561646432041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712961949 (or 712961942 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 50.

The spelling of 152561646432041 in words is "one hundred fifty-two trillion, five hundred sixty-one billion, six hundred forty-six million, four hundred thirty-two thousand, forty-one".

Divisors: 1 7 11 49 77 397 539 2779 4367 19453 30569 213983 712961527 4990730689 7842576797 34935114823 54898037579 283045726219 384286263053 1981320083533 3113502988409 13869240584731 21794520918863 152561646432041