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1068997808340 = 223357111723471399
BaseRepresentation
bin11111000111001010011…
…11000001000011010100
310210012021021222020212000
433203211033001003110
5120003301414331330
62135031340555300
7140142522306060
oct17434517010324
93705237866760
101068997808340
113823a54375a0
12153219252b30
1379a62bb9577
1439a4dd00aa0
151cc18db1560
hexf8e53c10d4

1068997808340 has 1536 divisors, whose sum is σ = 4682022912000. Its totient is φ = 195578634240.

The previous prime is 1068997808311. The next prime is 1068997808341. The reversal of 1068997808340 is 438087998601.

It is a super-2 number, since 2×10689978083402 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068997808341) 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 511 ways as a sum of consecutive naturals, for example, 764114961 + ... + 764116359.

It is an arithmetic number, because the mean of its divisors is an integer number (3048192000).

Almost surely, 21068997808340 is an apocalyptic number.

1068997808340 is a gapful number since it is divisible by the number (10) 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 1068997808340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341011456000).

1068997808340 is an abundant number, since it is smaller than the sum of its proper divisors (3613025103660).

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

1068997808340 is a wasteful number, since it uses less digits than its factorization.

1068997808340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 1068997808340 in words is "one trillion, sixty-eight billion, nine hundred ninety-seven million, eight hundred eight thousand, three hundred forty".