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145964228697 = 32771293111373
BaseRepresentation
bin1000011111110000100…
…1010110000001011001
3111221202111110002102100
42013330021112001121
54342413320304242
6151015515554013
713355062321110
oct2077411260131
9457674402370
10145964228697
11569a3002471
122435715b909
13109c2414bc1
1470c97a8c77
153be464054c
hex21fc256059

145964228697 has 48 divisors (see below), whose sum is σ = 245186742528. Its totient is φ = 81951972480.

The previous prime is 145964228677. The next prime is 145964228719. The reversal of 145964228697 is 796822469541.

145964228697 is a `hidden beast` number, since 1 + 45 + 9 + 6 + 422 + 86 + 97 = 666.

It is not a de Polignac number, because 145964228697 - 215 = 145964195929 is a prime.

It is a super-2 number, since 2×1459642286972 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (145964228677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254903 + ... + 1366275.

It is an arithmetic number, because the mean of its divisors is an integer number (5108057136).

Almost surely, 2145964228697 is an apocalyptic number.

It is an amenable number.

145964228697 is a deficient number, since it is larger than the sum of its proper divisors (99222513831).

145964228697 is a wasteful number, since it uses less digits than its factorization.

145964228697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111750 (or 111747 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 145964228697 in words is "one hundred forty-five billion, nine hundred sixty-four million, two hundred twenty-eight thousand, six hundred ninety-seven".

Divisors: 1 3 7 9 21 63 71 213 293 497 639 879 1491 2051 2637 4473 6153 18459 20803 62409 111373 145621 187227 334119 436863 779611 1002357 1310589 2338833 7016499 7907483 23722449 32632289 55352381 71167347 97896867 166057143 228426023 293690601 498171429 685278069 2055834207 2316892519 6950677557 16218247633 20852032671 48654742899 145964228697