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5749961411376 = 24327132148722699
BaseRepresentation
bin101001110101100010001…
…1010000100101100110000
3202100200122200211012010200
41103223010122010230300
51223201410110131001
620121255032155200
71132264255402140
oct123530432045460
922320580735120
105749961411376
1119175aa351a86
1278a46a538b00
133292b02ac900
1415c42a214920
159e882a9a086
hex53ac4684b30

5749961411376 has 360 divisors, whose sum is σ = 19928513779200. Its totient is φ = 1515386755584.

The previous prime is 5749961411357. The next prime is 5749961411419. The reversal of 5749961411376 is 6731141699475.

5749961411376 is a `hidden beast` number, since 5 + 7 + 4 + 9 + 9 + 614 + 1 + 1 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 253302075 + ... + 253324773.

It is an arithmetic number, because the mean of its divisors is an integer number (55356982720).

Almost surely, 25749961411376 is an apocalyptic number.

5749961411376 is a gapful number since it is divisible by the number (56) 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 5749961411376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9964256889600).

5749961411376 is an abundant number, since it is smaller than the sum of its proper divisors (14178552367824).

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

5749961411376 is a wasteful number, since it uses less digits than its factorization.

5749961411376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24233 (or 24211 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 5749961411376 in words is "five trillion, seven hundred forty-nine billion, nine hundred sixty-one million, four hundred eleven thousand, three hundred seventy-six".