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11896641744 = 2431339748023
BaseRepresentation
bin10110001010001100…
…00101100011010000
31010201002122000110220
423011012011203100
5143331020013434
65244254153040
7600544533501
oct130506054320
933632560426
1011896641744
115055387029
1223801b2780
1311779165b0
1480bdd4ba8
15499655d49
hex2c51858d0

11896641744 has 80 divisors (see below), whose sum is σ = 33181126272. Its totient is φ = 3651208704.

The previous prime is 11896641721. The next prime is 11896641749. The reversal of 11896641744 is 44714669811.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11896641749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223717 + ... + 271739.

Almost surely, 211896641744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11896641744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590563136).

11896641744 is an abundant number, since it is smaller than the sum of its proper divisors (21284484528).

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

11896641744 is a wasteful number, since it uses less digits than its factorization.

11896641744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48444 (or 48438 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 11896641744 in words is "eleven billion, eight hundred ninety-six million, six hundred forty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 397 624 794 1191 1588 2382 3176 4764 5161 6352 9528 10322 15483 19056 20644 30966 41288 48023 61932 82576 96046 123864 144069 192092 247728 288138 384184 576276 624299 768368 1152552 1248598 1872897 2305104 2497196 3745794 4994392 7491588 9988784 14983176 19065131 29966352 38130262 57195393 76260524 114390786 152521048 228781572 247846703 305042096 457563144 495693406 743540109 915126288 991386812 1487080218 1982773624 2974160436 3965547248 5948320872 11896641744