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10696702199040 = 2834511131096619
BaseRepresentation
bin1001101110101000010100…
…1000101000010100000000
31101212121001120100000010000
42123222011020220110000
52400223321230332130
634425555215040000
72152545152334624
oct233520510502400
941777046300100
1010696702199040
11345449a58aa80
121249113b10000
135c7905303040
1428da1a46b184
151383a472e260
hex9ba85228500

10696702199040 has 1440 divisors, whose sum is σ = 45385536873600. Its totient is φ = 2371349053440.

The previous prime is 10696702199039. The next prime is 10696702199041. The reversal of 10696702199040 is 4099120769601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10696702199039) and next prime (10696702199041).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×106967021990402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10696702199041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1616056851 + ... + 1616063469.

It is an arithmetic number, because the mean of its divisors is an integer number (31517733940).

Almost surely, 210696702199040 is an apocalyptic number.

10696702199040 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 10696702199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22692768436800).

10696702199040 is an abundant number, since it is smaller than the sum of its proper divisors (34688834674560).

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

10696702199040 is a wasteful number, since it uses less digits than its factorization.

10696702199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 10696702199040 in words is "ten trillion, six hundred ninety-six billion, seven hundred two million, one hundred ninety-nine thousand, forty".