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53123007448 = 23723251164321
BaseRepresentation
bin110001011110011000…
…001100001111011000
312002010020022101110101
4301132120030033120
51332243442214243
640223202225144
73560303053510
oct613630141730
9162106271411
1053123007448
1120590609845
12a3669551b4
135017a92024
1427dd3d6840
1515adb3554d
hexc5e60c3d8

53123007448 has 64 divisors (see below), whose sum is σ = 119258334720. Its totient is φ = 21690240000.

The previous prime is 53123007433. The next prime is 53123007449. The reversal of 53123007448 is 84470032135.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53123007449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241128 + ... + 405448.

It is an arithmetic number, because the mean of its divisors is an integer number (1863411480).

Almost surely, 253123007448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53123007448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59629167360).

53123007448 is an abundant number, since it is smaller than the sum of its proper divisors (66135327272).

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

53123007448 is a wasteful number, since it uses less digits than its factorization.

53123007448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164608 (or 164604 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 53123007448 in words is "fifty-three billion, one hundred twenty-three million, seven thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 251 322 502 644 1004 1288 1757 2008 3514 5773 7028 11546 14056 23092 40411 46184 80822 161644 164321 323288 328642 657284 1150247 1314568 2300494 3779383 4600988 7558766 9201976 15117532 26455681 30235064 41244571 52911362 82489142 105822724 164978284 211645448 288711997 329956568 577423994 948625133 1154847988 1897250266 2309695976 3794500532 6640375931 7589001064 13280751862 26561503724 53123007448