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3109735069056 = 273471121118461
BaseRepresentation
bin101101010000001010101…
…001110111010110000000
3102000021202210011100220000
4231100022221313112000
5401422214134202211
610340331554520000
7440446063645110
oct55201251672600
912007683140800
103109735069056
11a999164152a0
1242282bb96000
1319732918a325
14aa724c35040
1555d58458656
hex2d40aa77580

3109735069056 has 640 divisors, whose sum is σ = 11593415243520. Its totient is φ = 803851776000.

The previous prime is 3109735069027. The next prime is 3109735069061. The reversal of 3109735069056 is 6509605379013.

3109735069056 is a `hidden beast` number, since 3 + 10 + 9 + 73 + 506 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×31097350690562 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3109735068993 and 3109735069011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 168439666 + ... + 168458126.

It is an arithmetic number, because the mean of its divisors is an integer number (18114711318).

Almost surely, 23109735069056 is an apocalyptic number.

3109735069056 is a gapful number since it is divisible by the number (36) 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 3109735069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796707621760).

3109735069056 is an abundant number, since it is smaller than the sum of its proper divisors (8483680174464).

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

3109735069056 is a wasteful number, since it uses less digits than its factorization.

3109735069056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18716 (or 18695 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

It can be divided in two parts, 31097 and 35069056, that added together give a palindrome (35100153).

The spelling of 3109735069056 in words is "three trillion, one hundred nine billion, seven hundred thirty-five million, sixty-nine thousand, fifty-six".