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148569544541 = 11172432574229
BaseRepresentation
bin1000101001011101101…
…1110101011101011101
3112012111001210211212202
42022113123311131131
54413232300411131
6152130224541245
713506456202115
oct2122733653535
9465431724782
10148569544541
115800a6a8860
1224963781825
13110190c9602
1472957d2045
153ce8220bcb
hex22976f575d

148569544541 has 48 divisors (see below), whose sum is σ = 176901848640. Its totient is φ = 123649720320.

The previous prime is 148569544517. The next prime is 148569544561. The reversal of 148569544541 is 145445965841.

It is not a de Polignac number, because 148569544541 - 26 = 148569544477 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148569544561) by changing a digit.

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, 35129015 + ... + 35133243.

It is an arithmetic number, because the mean of its divisors is an integer number (3685455180).

Almost surely, 2148569544541 is an apocalyptic number.

148569544541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

148569544541 is a deficient number, since it is larger than the sum of its proper divisors (28332304099).

148569544541 is a wasteful number, since it uses less digits than its factorization.

148569544541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4557 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 56.

The spelling of 148569544541 in words is "one hundred forty-eight billion, five hundred sixty-nine million, five hundred forty-four thousand, five hundred forty-one".

Divisors: 1 11 17 43 187 257 289 473 731 2827 3179 4229 4369 8041 11051 12427 46519 48059 71893 74273 121561 136697 181847 187867 790823 817003 1086853 1222181 2000317 2066537 3091399 3193739 11955383 13443991 18476501 34005389 35131129 46734679 52553783 203241511 314100517 514081469 578091613 794489543 3455105687 8739384973 13506322231 148569544541