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54153035145 = 3251129945461
BaseRepresentation
bin110010011011110001…
…011011110110001001
312011210000111012211100
4302123301123312021
51341401134111040
640513315252013
73624651126636
oct623361336611
9164700435740
1054153035145
1120a69a81900
12a5b38aa009
1351502b3981
14289a11d18d
15161e298b30
hexc9bc5bd89

54153035145 has 36 divisors (see below), whose sum is σ = 103174222788. Its totient is φ = 26256014400.

The previous prime is 54153035099. The next prime is 54153035149.

54153035145 is a `hidden beast` number, since 54 + 1 + 530 + 35 + 1 + 45 = 666.

54153035145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 22913179641 + 31239855504 = 151371^2 + 176748^2 .

It is not a de Polignac number, because 54153035145 - 26 = 54153035081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54153035149) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4967286 + ... + 4978175.

It is an arithmetic number, because the mean of its divisors is an integer number (2865950633).

Almost surely, 254153035145 is an apocalyptic number.

54153035145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54153035145 is a deficient number, since it is larger than the sum of its proper divisors (49021187643).

54153035145 is a wasteful number, since it uses less digits than its factorization.

54153035145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945494 (or 9945480 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 541530 and 35145, that added together give a palindrome (576675).

The spelling of 54153035145 in words is "fifty-four billion, one hundred fifty-three million, thirty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 9945461 29836383 49727305 89509149 109400071 149181915 328200213 447545745 547000355 984600639 1203400781 1641001065 3610202343 4923003195 6017003905 10830607029 18051011715 54153035145