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10514019487104 = 273372356333563
BaseRepresentation
bin1001100011111111110001…
…1001011000110110000000
31101020010112002120200221000
42120333330121120312000
52334230202442041404
634210023542332000
72133420130034130
oct230777431306600
941203462520830
1010514019487104
113393a7499a6a1
12121982ba2a000
135b3610948ca3
14284c4a25cac0
15133761758339
hex98ffc658d80

10514019487104 has 512 divisors, whose sum is σ = 37072700006400. Its totient is φ = 2868207446016.

The previous prime is 10514019487079. The next prime is 10514019487133. The reversal of 10514019487104 is 40178491041501.

10514019487104 is a `hidden beast` number, since 1 + 0 + 5 + 140 + 19 + 487 + 10 + 4 = 666.

10514019487104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105140194871042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10514019487104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313245427 + ... + 313278989.

It is an arithmetic number, because the mean of its divisors is an integer number (72407617200).

Almost surely, 210514019487104 is an apocalyptic number.

10514019487104 is a gapful number since it is divisible by the number (14) 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 10514019487104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18536350003200).

10514019487104 is an abundant number, since it is smaller than the sum of its proper divisors (26558680519296).

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

10514019487104 is a wasteful number, since it uses less digits than its factorization.

10514019487104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34179 (or 34161 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10514019487104 in words is "ten trillion, five hundred fourteen billion, nineteen million, four hundred eighty-seven thousand, one hundred four".