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2116358662440 = 233511103107145477
BaseRepresentation
bin11110110011000000110…
…011100110100100101000
321111022200200012100101110
4132303000303212210220
5234133300304144230
64300124114550320
7305621224550001
oct36630063464450
97438620170343
102116358662440
117465a7323120
122a21b82983a0
13124758227019
147460a3661a8
153a0b84584b0
hex1ecc0ce6928

2116358662440 has 256 divisors, whose sum is σ = 7058918430720. Its totient is φ = 503323683840.

The previous prime is 2116358662423. The next prime is 2116358662501. The reversal of 2116358662440 is 442668536112.

It is a Cunningham number, because it is equal to 14547712-1.

It is a self number, because there is not a number n which added to its sum of digits gives 2116358662440.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14474982 + ... + 14620458.

It is an arithmetic number, because the mean of its divisors is an integer number (27573900120).

Almost surely, 22116358662440 is an apocalyptic number.

2116358662440 is a gapful number since it is divisible by the number (20) 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 2116358662440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529459215360).

2116358662440 is an abundant number, since it is smaller than the sum of its proper divisors (4942559768280).

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

2116358662440 is a wasteful number, since it uses less digits than its factorization.

2116358662440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145712 (or 145708 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 2116358662440 in words is "two trillion, one hundred sixteen billion, three hundred fifty-eight million, six hundred sixty-two thousand, four hundred forty".