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145931968567 = 71123110875113
BaseRepresentation
bin1000011111101000111…
…0010010000000110111
3111221200020202002211201
42013322032102000313
54342332040443232
6151012404313331
713354221160210
oct2077216220067
9457606662751
10145931968567
1156986878a00
12243483a2847
13109b882b278
1470c53ac407
153be18bbbe7
hex21fa392037

145931968567 has 48 divisors (see below), whose sum is σ = 189444161536. Its totient is φ = 109922313600.

The previous prime is 145931968549. The next prime is 145931968571. The reversal of 145931968567 is 765869139541.

It is a de Polignac number, because none of the positive numbers 2k-145931968567 is a prime.

It is a super-2 number, since 2×1459319685672 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145931968499 and 145931968508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145931968517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28538803 + ... + 28543915.

Almost surely, 2145931968567 is an apocalyptic number.

145931968567 is a deficient number, since it is larger than the sum of its proper divisors (43512192969).

145931968567 is a wasteful number, since it uses less digits than its factorization.

145931968567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260 (or 6249 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 64.

The spelling of 145931968567 in words is "one hundred forty-five billion, nine hundred thirty-one million, nine hundred sixty-eight thousand, five hundred sixty-seven".

Divisors: 1 7 11 31 77 121 217 341 847 1087 2387 3751 5113 7609 11957 26257 33697 35791 56243 83699 131527 158503 235879 370667 393701 618673 920689 1109521 1743533 2594669 4077337 4330711 5557831 12204731 19178863 28541359 38904817 61136141 134252041 172292761 427952987 672497551 1206049327 1895220371 4707482857 13266542597 20847424081 145931968567