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13826396332144 = 2411149527242081
BaseRepresentation
bin1100100100110011010101…
…1100010010000001110000
31210221210100022222212200101
43021030311130102001300
53303012424430112034
645223431522002144
72624631663463114
oct311146534220160
953853308885611
1013826396332144
114450818304520
1216737941a6354
13793a92534426
1435b2b5d6d744
1518e9ca019514
hexc9335712070

13826396332144 has 40 divisors (see below), whose sum is σ = 29420108175600. Its totient is φ = 6242546227200.

The previous prime is 13826396332093. The next prime is 13826396332157. The reversal of 13826396332144 is 44123369362831.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263594817 + ... + 263647264.

It is an arithmetic number, because the mean of its divisors is an integer number (735502704390).

Almost surely, 213826396332144 is an apocalyptic number.

It is an amenable number.

13826396332144 is an abundant number, since it is smaller than the sum of its proper divisors (15593711843456).

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

13826396332144 is a wasteful number, since it uses less digits than its factorization.

13826396332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527242249 (or 527242243 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 55.

The spelling of 13826396332144 in words is "thirteen trillion, eight hundred twenty-six billion, three hundred ninety-six million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 149 176 298 596 1192 1639 2384 3278 6556 13112 26224 527242081 1054484162 2108968324 4217936648 5799662891 8435873296 11599325782 23198651564 46397303128 78559070069 92794606256 157118140138 314236280276 628472560552 864149770759 1256945121104 1728299541518 3456599083036 6913198166072 13826396332144