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5057461775700 = 223752371135531
BaseRepresentation
bin100100110011000100000…
…1101100110110101010100
3122220111012012120210000000
41021212020031212311110
51130330140203310300
614431211005451300
71031250421540035
oct111461015466524
918814165523000
105057461775700
11167a948363094
12698205870b30
132a8bbb9ca789
14136ad50b8a8c
158b8521e7c00
hex49988366d54

5057461775700 has 576 divisors, whose sum is σ = 17057060778240. Its totient is φ = 1300358707200.

The previous prime is 5057461775689. The next prime is 5057461775701. The reversal of 5057461775700 is 75771647505.

5057461775700 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 4 + 61 + 7 + 7 + 570 + 0 = 666.

It is a super-2 number, since 2×50574617757002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5057461775701) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 914381935 + ... + 914387465.

It is an arithmetic number, because the mean of its divisors is an integer number (29612952740).

Almost surely, 25057461775700 is an apocalyptic number.

5057461775700 is a gapful number since it is divisible by the number (50) 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 5057461775700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528530389120).

5057461775700 is an abundant number, since it is smaller than the sum of its proper divisors (11999599002540).

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

5057461775700 is a wasteful number, since it uses less digits than its factorization.

5057461775700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 7203000, while the sum is 54.

The spelling of 5057461775700 in words is "five trillion, fifty-seven billion, four hundred sixty-one million, seven hundred seventy-five thousand, seven hundred".