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61803461376 = 28351758441
BaseRepresentation
bin111001100011110001…
…011111101100000000
312220112012010010200000
4321203301133230000
52003033141231001
644220410400000
74315355516406
oct714361375400
9186465103600
1061803461376
1124235496308
12bb89a30000
135a9c28c8b7
142dc41cb476
15191ac41a86
hexe63c5fb00

61803461376 has 216 divisors, whose sum is σ = 195668023824. Its totient is φ = 19388989440.

The previous prime is 61803461371. The next prime is 61803461381. The reversal of 61803461376 is 67316430816.

61803461376 is a `hidden beast` number, since 6 + 180 + 3 + 461 + 3 + 7 + 6 = 666.

61803461376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61803461371) and next prime (61803461381).

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (61803461371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028316 + ... + 1086756.

Almost surely, 261803461376 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 61803461376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97834011912).

61803461376 is an abundant number, since it is smaller than the sum of its proper divisors (133864562448).

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

61803461376 is an equidigital number, since it uses as much as digits as its factorization.

61803461376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58489 (or 58463 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 61803461376 in words is "sixty-one billion, eight hundred three million, four hundred sixty-one thousand, three hundred seventy-six".