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10702575114 = 23711217731697
BaseRepresentation
bin10011111011110110…
…00101011000001010
31000121212210010222220
421331323011120022
5133404324400424
64530001154510
7526135246620
oct117573053012
930555703886
1010702575114
1145a2363100
1220a832ba36
13101741b9aa
147375ab510
154298dd579
hex27dec560a

10702575114 has 192 divisors, whose sum is σ = 28877845248. Its totient is φ = 2579005440.

The previous prime is 10702575053. The next prime is 10702575139. The reversal of 10702575114 is 41157520701.

It is a super-2 number, since 2×107025751142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6305914 + ... + 6307610.

It is an arithmetic number, because the mean of its divisors is an integer number (150405444).

Almost surely, 210702575114 is an apocalyptic number.

10702575114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10702575114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438922624).

10702575114 is an abundant number, since it is smaller than the sum of its proper divisors (18175270134).

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

10702575114 is a wasteful number, since it uses less digits than its factorization.

10702575114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 33.

It can be divided in two parts, 107025751 and 14, that added together give a triangular number (107025765 = T14630).

The spelling of 10702575114 in words is "ten billion, seven hundred two million, five hundred seventy-five thousand, one hundred fourteen".