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21742113078376 = 2341129517511801
BaseRepresentation
bin1001111000110001110101…
…11011010011110001101000
32211222112012020120100222021
410330120322323103301220
510322210321422002001
6114124104443234224
74402546554612415
oct474307273236150
984875166510867
1021742113078376
116a22862020729
122531925818974
13c193707b86a2
14552476a6910c
1527a867938ba1
hex13c63aed3c68

21742113078376 has 32 divisors (see below), whose sum is σ = 41761170004680. Its totient is φ = 10605806208000.

The previous prime is 21742113078353. The next prime is 21742113078379. The reversal of 21742113078376 is 67387031124712.

It can be written as a sum of positive squares in 4 ways, for example, as 20870552664900 + 871560413476 = 4568430^2 + 933574^2 .

It is a super-2 number, since 2×217421130783762 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21742113078379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42225676 + ... + 42737476.

Almost surely, 221742113078376 is an apocalyptic number.

It is an amenable number.

21742113078376 is a deficient number, since it is larger than the sum of its proper divisors (20019056926304).

21742113078376 is a wasteful number, since it uses less digits than its factorization.

21742113078376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641365 (or 641361 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 21742113078376 in words is "twenty-one trillion, seven hundred forty-two billion, one hundred thirteen million, seventy-eight thousand, three hundred seventy-six".

Divisors: 1 2 4 8 41 82 164 328 129517 259034 511801 518068 1023602 1036136 2047204 4094408 5310197 10620394 20983841 21240788 41967682 42481576 83935364 167870728 66286930117 132573860234 265147720468 530295440936 2717764134797 5435528269594 10871056539188 21742113078376