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61255548480 = 2635733127539
BaseRepresentation
bin111001000011000111…
…010111111001000000
312212010000010021110210
4321003013113321000
52000422410022410
644050154554120
74265653366620
oct710307277100
9185100107423
1061255548480
1123a84184235
12ba56438940
135a12900399
142d71522880
1518d7ab2220
hexe431d7e40

61255548480 has 224 divisors, whose sum is σ = 222949739520. Its totient is φ = 13958461440.

The previous prime is 61255548467. The next prime is 61255548499. The reversal of 61255548480 is 8484555216.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2210551 + ... + 2238089.

Almost surely, 261255548480 is an apocalyptic number.

61255548480 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 61255548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111474869760).

61255548480 is an abundant number, since it is smaller than the sum of its proper divisors (161694191040).

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

61255548480 is a wasteful number, since it uses less digits than its factorization.

61255548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27897 (or 27887 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 48.

The spelling of 61255548480 in words is "sixty-one billion, two hundred fifty-five million, five hundred forty-eight thousand, four hundred eighty".