Search a number
-
+
10712886735096 = 233271310131351721
BaseRepresentation
bin1001101111100100100111…
…0011101111000011111000
31101221010211111101121210100
42123321021303233003320
52401004443001010341
634441233205515400
72153660214535140
oct233711163570370
941833744347710
1010712886735096
113460345306507
121250290112b60
135c92b438a9b0
14290713b17920
15138a005273b6
hex9be49cef0f8

10712886735096 has 384 divisors, whose sum is σ = 36179100397440. Its totient is φ = 2788411392000.

The previous prime is 10712886735091. The next prime is 10712886735101. The reversal of 10712886735096 is 69053768821701.

10712886735096 is a `hidden beast` number, since 10 + 7 + 128 + 8 + 67 + 350 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (10712886735091) and next prime (10712886735101).

It is a super-2 number, since 2×107128867350962 (a number of 27 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 (10712886735091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207102516 + ... + 207154236.

It is an arithmetic number, because the mean of its divisors is an integer number (94216407285).

Almost surely, 210712886735096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712886735096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18089550198720).

10712886735096 is an abundant number, since it is smaller than the sum of its proper divisors (25466213662344).

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

10712886735096 is a wasteful number, since it uses less digits than its factorization.

10712886735096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52167 (or 52160 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 10712886735096 in words is "ten trillion, seven hundred twelve billion, eight hundred eighty-six million, seven hundred thirty-five thousand, ninety-six".