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10661682125716 = 22137541359310009
BaseRepresentation
bin1001101100100101110111…
…0001101001101110010100
31101202020122221212221202021
42123021131301221232110
52344140111111010331
634401524213222524
72150165264535526
oct233113561515624
941666587787667
1010661682125716
113440659679616
12124237b931a44
135c4513ba176b
1428c057417a16
15137505036211
hex9b25dc69b94

10661682125716 has 48 divisors (see below), whose sum is σ = 18835994857680. Its totient is φ = 5280150343680.

The previous prime is 10661682125681. The next prime is 10661682125719. The reversal of 10661682125716 is 61752128616601.

It can be written as a sum of positive squares in 8 ways, for example, as 713045136400 + 9948636989316 = 844420^2 + 3154146^2 .

It is a super-2 number, since 2×106616821257162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10661682125719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065204520 + ... + 1065214528.

It is an arithmetic number, because the mean of its divisors is an integer number (392416559535).

Almost surely, 210661682125716 is an apocalyptic number.

It is an amenable number.

10661682125716 is a deficient number, since it is larger than the sum of its proper divisors (8174312731964).

10661682125716 is a wasteful number, since it uses less digits than its factorization.

10661682125716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14284 (or 14282 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 10661682125716 in words is "ten trillion, six hundred sixty-one billion, six hundred eighty-two million, one hundred twenty-five thousand, seven hundred sixteen".

Divisors: 1 2 4 137 274 541 548 1082 2164 3593 7186 10009 14372 20018 40036 74117 148234 296468 492241 984482 1371233 1943813 1968964 2742466 3887626 5414869 5484932 7775252 10829738 21659476 35962337 71924674 143849348 266302381 532604762 741837053 1065209524 1483674106 2967348212 4926840169 9853680338 19455624317 19707360676 38911248634 77822497268 2665420531429 5330841062858 10661682125716