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61124240280 = 23354373263617
BaseRepresentation
bin111000111011010010…
…011110001110011000
312211202212001010111010
4320323102132032120
52000140301142110
644025144333520
74262500320105
oct707322361630
9184685033433
1061124240280
1123a17049464
12ba1a4742a0
1359c164731c
142d5bd01aac
1518cb2c6020
hexe3b49e398

61124240280 has 256 divisors, whose sum is σ = 191240248320. Its totient is φ = 15617581056.

The previous prime is 61124240239. The next prime is 61124240311. The reversal of 61124240280 is 8204242116.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99066532 + ... + 99067148.

It is an arithmetic number, because the mean of its divisors is an integer number (747032220).

Almost surely, 261124240280 is an apocalyptic number.

61124240280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61124240280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95620124160).

61124240280 is an abundant number, since it is smaller than the sum of its proper divisors (130116008040).

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

61124240280 is a wasteful number, since it uses less digits than its factorization.

61124240280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 61124240280 its reverse (8204242116), we get a palindrome (69328482396).

The spelling of 61124240280 in words is "sixty-one billion, one hundred twenty-four million, two hundred forty thousand, two hundred eighty".