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3678409454724 = 2238118392
BaseRepresentation
bin110101100001110010010…
…010011111010010000100
3111000122121200100100000000
4311201302102133102010
5440231340310022344
611453501000321300
7526520262322344
oct65416222372204
914018550310000
103678409454724
111199006272124
124b4a97a73230
13208b45c19a64
14ca0709a2d24
1565a3d0eca69
hex3587249f484

3678409454724 has 81 divisors (see below), whose sum is σ = 9656149874007. Its totient is φ = 1226032917336.

The previous prime is 3678409454719. The next prime is 3678409454743. The reversal of 3678409454724 is 4274549048763.

The square root of 3678409454724 is 1917918.

It is a perfect power (a square), and thus also a powerful number.

3678409454724 is a `hidden beast` number, since 3 + 6 + 7 + 84 + 0 + 9 + 4 + 547 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×36784094547242 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 310696797 + ... + 310708635.

Almost surely, 23678409454724 is an apocalyptic number.

3678409454724 is the 1917918-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3678409454724

3678409454724 is an abundant number, since it is smaller than the sum of its proper divisors (5977740419283).

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

3678409454724 is an frugal number, since it uses more digits than its factorization.

3678409454724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23706 (or 11844 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 3678409454724 in words is "three trillion, six hundred seventy-eight billion, four hundred nine million, four hundred fifty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 11839 13122 23678 26244 35517 47356 71034 106551 142068 213102 319653 426204 639306 958959 1278612 1917918 2876877 3835836 5753754 8630631 11507508 17261262 25891893 34522524 51783786 77675679 103567572 140161921 155351358 280323842 310702716 420485763 560647684 840971526 1261457289 1681943052 2522914578 3784371867 5045829156 7568743734 11353115601 15137487468 22706231202 34059346803 45412462404 68118693606 102178040409 136237387212 204356080818 306534121227 408712161636 613068242454 919602363681 1226136484908 1839204727362 3678409454724