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145005400164525 = 35290712097176213
BaseRepresentation
bin100000111110000110110011…
…010111100000100010101101
3201000102101021122201110002220
4200332012303113200202231
5123001232024420231100
61232222321115505553
742354202664504145
oct4076066327404255
9630371248643086
10145005400164525
114222649912329a
121431b0271582b9
1362bac48501994
1427b4427d3d925
1511b6dcad5baa0
hex83e1b35e08ad

145005400164525 has 48 divisors (see below), whose sum is σ = 240027788351424. Its totient is φ = 77244123156480.

The previous prime is 145005400164517. The next prime is 145005400164539. The reversal of 145005400164525 is 525461004500541.

It is a happy number.

It is not a de Polignac number, because 145005400164525 - 23 = 145005400164517 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822810319 + ... + 822986531.

It is an arithmetic number, because the mean of its divisors is an integer number (5000578923988).

Almost surely, 2145005400164525 is an apocalyptic number.

145005400164525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145005400164525 is a deficient number, since it is larger than the sum of its proper divisors (95022388186899).

145005400164525 is a wasteful number, since it uses less digits than its factorization.

145005400164525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189230 (or 189225 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 145005400164525 in words is "one hundred forty-five trillion, five billion, four hundred million, one hundred sixty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 75 907 2721 4535 12097 13605 22675 36291 60485 68025 176213 181455 302425 528639 881065 907275 2643195 4405325 10971979 13215975 32915937 54859895 159825191 164579685 274299475 479475573 799125955 822898425 2131648661 2397377865 3995629775 6394945983 10658243305 11986889325 31974729915 53291216525 159873649575 1933405335527 5800216006581 9667026677635 29001080032905 48335133388175 145005400164525