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2261526341116 = 227197358232731
BaseRepresentation
bin100000111010001101011…
…110010110010111111100
322000012101122210111121011
4200322031132112113330
5244023101220403431
64450533022045004
7322250505503620
oct40721536262774
98005348714534
102261526341116
117a2120730789
12306370719764
131353515c6443
147b65c023180
153dc62ba3cb1
hex20e8d7965fc

2261526341116 has 48 divisors (see below), whose sum is σ = 4826328828160. Its totient is φ = 905635416960.

The previous prime is 2261526341101. The next prime is 2261526341141. The reversal of 2261526341116 is 6111436251622.

It is a super-2 number, since 2×22615263411162 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 29077530 + ... + 29155201.

Almost surely, 22261526341116 is an apocalyptic number.

It is an amenable number.

2261526341116 is an abundant number, since it is smaller than the sum of its proper divisors (2564802487044).

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

2261526341116 is a wasteful number, since it uses less digits than its factorization.

2261526341116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58232834 (or 58232832 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The spelling of 2261526341116 in words is "two trillion, two hundred sixty-one billion, five hundred twenty-six million, three hundred forty-one thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 73 76 133 146 266 292 511 532 1022 1387 2044 2774 5548 9709 19418 38836 58232731 116465462 232930924 407629117 815258234 1106421889 1630516468 2212843778 4250989363 4425687556 7744953223 8501978726 15489906446 17003957452 29756925541 30979812892 59513851082 80768797897 119027702164 161537595794 323075191588 565381585279 1130763170558 2261526341116