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11286460896 = 2531932112887
BaseRepresentation
bin10101000001011100…
…11011100111100000
31002010120110121201020
422200232123213200
5141103313222041
65103540005440
7546455222544
oct124056334740
932116417636
1011286460896
114871a05137
12222b990880
1310ab394a39
14790d5ba24
15460cc6866
hex2a0b9b9e0

11286460896 has 96 divisors (see below), whose sum is σ = 29931971328. Its totient is φ = 3723632640.

The previous prime is 11286460891. The next prime is 11286460897. The reversal of 11286460896 is 69806468211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11286460891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3907965 + ... + 3910851.

It is an arithmetic number, because the mean of its divisors is an integer number (311791368).

Almost surely, 211286460896 is an apocalyptic number.

11286460896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11286460896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965985664).

11286460896 is an abundant number, since it is smaller than the sum of its proper divisors (18645510432).

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

11286460896 is a wasteful number, since it uses less digits than its factorization.

11286460896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 11286460896 in words is "eleven billion, two hundred eighty-six million, four hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 211 386 422 579 633 772 844 1158 1266 1544 1688 2316 2532 2887 3088 3376 4632 5064 5774 6176 6752 8661 9264 10128 11548 17322 18528 20256 23096 34644 40723 46192 69288 81446 92384 122169 138576 162892 244338 277152 325784 488676 557191 609157 651568 977352 1114382 1218314 1303136 1671573 1827471 1954704 2228764 2436628 3343146 3654942 3909408 4457528 4873256 6686292 7309884 8915056 9746512 13372584 14619768 17830112 19493024 26745168 29239536 53490336 58479072 117567301 235134602 352701903 470269204 705403806 940538408 1410807612 1881076816 2821615224 3762153632 5643230448 11286460896