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145164161505 = 35114171302227
BaseRepresentation
bin1000011100110001110…
…1010101000111100001
3111212200201222110120010
42013030131111013201
54334244011132010
6150404255435133
713326206004516
oct2071435250741
9455621873503
10145164161505
1156622426110
1224173225aa9
13108c573a56c
14705142330d
153b992a3620
hex21cc7551e1

145164161505 has 64 divisors (see below), whose sum is σ = 263213991936. Its totient is φ = 67698624000.

The previous prime is 145164161477. The next prime is 145164161521. The reversal of 145164161505 is 505161461541.

It is not a de Polignac number, because 145164161505 - 210 = 145164160481 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329202 + ... + 631428.

It is an arithmetic number, because the mean of its divisors is an integer number (4112718624).

Almost surely, 2145164161505 is an apocalyptic number.

145164161505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145164161505 is a deficient number, since it is larger than the sum of its proper divisors (118049830431).

145164161505 is a wasteful number, since it uses less digits than its factorization.

145164161505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302358.

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 145164161505 in words is "one hundred forty-five billion, one hundred sixty-four million, one hundred sixty-one thousand, five hundred five".

Divisors: 1 3 5 11 15 33 41 55 71 123 165 205 213 355 451 615 781 1065 1353 2255 2343 2911 3905 6765 8733 11715 14555 32021 43665 96063 160105 302227 480315 906681 1511135 3324497 4533405 9973491 12391307 16622485 21458117 37173921 49867455 61956535 64374351 107290585 136304377 185869605 236039287 321871755 408913131 681521885 708117861 879782797 1180196435 2044565655 2639348391 3540589305 4398913985 9677610767 13196741955 29032832301 48388053835 145164161505