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145460016064 = 2611206619341
BaseRepresentation
bin1000011101111000010…
…1111011001111000000
3111220110100200102201101
42013132011323033000
54340400231003224
6150453504544144
713336430510326
oct2073605731700
9456410612641
10145460016064
1156764429010
1224236322054
1310941b1652c
14707c837d16
153bb5244044
hex21de17b3c0

145460016064 has 28 divisors (see below), whose sum is σ = 314887877208. Its totient is φ = 66118188800.

The previous prime is 145460015929. The next prime is 145460016071. The reversal of 145460016064 is 460610064541.

145460016064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1454600160643 (a number of 34 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 103308967 + ... + 103310374.

Almost surely, 2145460016064 is an apocalyptic number.

It is an amenable number.

145460016064 is an abundant number, since it is smaller than the sum of its proper divisors (169427861144).

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

145460016064 is a wasteful number, since it uses less digits than its factorization.

145460016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206619364 (or 206619354 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 145460016064 in words is "one hundred forty-five billion, four hundred sixty million, sixteen thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 206619341 413238682 826477364 1652954728 2272812751 3305909456 4545625502 6611818912 9091251004 13223637824 18182502008 36365004016 72730008032 145460016064