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145204064511 = 31123112903587
BaseRepresentation
bin1000011100111011010…
…1100011000011111111
3111212210112001202012020
42013032311203003333
54334334220031021
6150412243011223
713330202120022
oct2071665430377
9455715052166
10145204064511
11566429aa900
1224184669b13
1310900a9bbcc
14705684d1b9
153b9ca367c6
hex21ced630ff

145204064511 has 24 divisors (see below), whose sum is σ = 219670682112. Its totient is φ = 85163667600.

The previous prime is 145204064491. The next prime is 145204064539. The reversal of 145204064511 is 115460402541.

It is not a de Polignac number, because 145204064511 - 25 = 145204064479 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145204064011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6440541 + ... + 6463046.

It is an arithmetic number, because the mean of its divisors is an integer number (9152945088).

Almost surely, 2145204064511 is an apocalyptic number.

145204064511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145204064511 is a deficient number, since it is larger than the sum of its proper divisors (74466617601).

145204064511 is a wasteful number, since it uses less digits than its factorization.

145204064511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12903643 (or 12903632 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 145204064511 in words is "one hundred forty-five billion, two hundred four million, sixty-four thousand, five hundred eleven".

Divisors: 1 3 11 31 33 93 121 341 363 1023 3751 11253 12903587 38710761 141939457 400011197 425818371 1200033591 1561334027 4400123167 4684002081 13200369501 48401354837 145204064511