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53104050144 = 253361463021
BaseRepresentation
bin110001011101001111…
…110111111111100000
312002001220122020221000
4301131033313333200
51332224114101034
640221244032000
73556652656425
oct613517677740
9162056566830
1053104050144
1120580940952
12a360532600
135013b853a2
1427daa9dd4c
1515ac13d599
hexc5d3f7fe0

53104050144 has 48 divisors (see below), whose sum is σ = 154886815440. Its totient is φ = 17701349760.

The previous prime is 53104050143. The next prime is 53104050151. The reversal of 53104050144 is 44105040135.

It is a happy number.

53104050144 is a `hidden beast` number, since 53 + 104 + 0 + 501 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53104050143) 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 7 ways as a sum of consecutive naturals, for example, 30730647 + ... + 30732374.

It is an arithmetic number, because the mean of its divisors is an integer number (3226808655).

Almost surely, 253104050144 is an apocalyptic number.

53104050144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

53104050144 is an abundant number, since it is smaller than the sum of its proper divisors (101782765296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53104050144 is a wasteful number, since it uses less digits than its factorization.

53104050144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61463040 (or 61463026 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 53104050144 its reverse (44105040135), we get a palindrome (97209090279).

The spelling of 53104050144 in words is "fifty-three billion, one hundred four million, fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 61463021 122926042 184389063 245852084 368778126 491704168 553167189 737556252 983408336 1106334378 1475112504 1659501567 1966816672 2212668756 2950225008 3319003134 4425337512 5900450016 6638006268 8850675024 13276012536 17701350048 26552025072 53104050144