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145046976732 = 223271135093657
BaseRepresentation
bin1000011100010101111…
…0010011100011011100
3111212101120110212021100
42013011132103203130
54334024011223412
6150344512033100
713323253650120
oct2070536234334
9455346425240
10145046976732
1156572267499
122413bb32790
13108a738ab68
14703da3b580
153b8dd56edc
hex21c57938dc

145046976732 has 72 divisors (see below), whose sum is σ = 422732864736. Its totient is φ = 41075241984.

The previous prime is 145046976727. The next prime is 145046976761. The reversal of 145046976732 is 237679640541.

145046976732 is a `hidden beast` number, since 1 + 4 + 504 + 69 + 7 + 6 + 73 + 2 = 666.

145046976732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2518353 + ... + 2575304.

It is an arithmetic number, because the mean of its divisors is an integer number (5871289788).

Almost surely, 2145046976732 is an apocalyptic number.

145046976732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145046976732 is an abundant number, since it is smaller than the sum of its proper divisors (277685888004).

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

145046976732 is a wasteful number, since it uses less digits than its factorization.

145046976732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093787 (or 5093782 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 145046976732 in words is "one hundred forty-five billion, forty-six million, nine hundred seventy-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4068 4746 7119 9492 14238 28476 5093657 10187314 15280971 20374628 30561942 35655599 45842913 61123884 71311198 91685826 106966797 142622396 183371652 213933594 320900391 427867188 575583241 641800782 1151166482 1283601564 1726749723 2302332964 3453499446 4029082687 5180249169 6906998892 8058165374 10360498338 12087248061 16116330748 20720996676 24174496122 36261744183 48348992244 72523488366 145046976732