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4123987354368 = 2835722359997
BaseRepresentation
bin111100000000110000110…
…011010010001100000000
3112121020201202202220100000
4330000300303102030000
51020031411230314433
612434311133200000
7603643152063300
oct74006063221400
915536652686300
104123987354368
11134aa78393082
1256730b030000
1323bb760c768b
14103860067600
157241b039113
hex3c030cd2300

4123987354368 has 1296 divisors, whose sum is σ = 15236673903360. Its totient is φ = 1106838577152.

The previous prime is 4123987354367. The next prime is 4123987354381. The reversal of 4123987354368 is 8634537893214.

It is a happy number.

4123987354368 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 9 + 87 + 3 + 543 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (4123987354367) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4136396046 + ... + 4136397042.

Almost surely, 24123987354368 is an apocalyptic number.

4123987354368 is a gapful number since it is divisible by the number (48) 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 4123987354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618336951680).

4123987354368 is an abundant number, since it is smaller than the sum of its proper divisors (11112686548992).

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

4123987354368 is an equidigital number, since it uses as much as digits as its factorization.

4123987354368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1091 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 4123987354368 in words is "four trillion, one hundred twenty-three billion, nine hundred eighty-seven million, three hundred fifty-four thousand, three hundred sixty-eight".