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10821536796438 = 2324712791414653
BaseRepresentation
bin1001110101111001010111…
…0110110100111100010110
31102022112021111122121110100
42131132111312310330112
52404300001404441223
635003202333434530
72164554525034314
oct235362566647426
942275244577410
1010821536796438
1134a242a44a735
12126935293ba46
1360660acb6414
14295a9d8db0b4
1513b75dd68043
hex9d795db4f16

10821536796438 has 24 divisors (see below), whose sum is σ = 23945528232288. Its totient is φ = 3530430443952.

The previous prime is 10821536796437. The next prime is 10821536796439. The reversal of 10821536796438 is 83469763512801.

10821536796438 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 1 + 53 + 67 + 96 + 438 = 666.

It is an interprime number because it is at equal distance from previous prime (10821536796437) and next prime (10821536796439).

It is a super-2 number, since 2×108215367964382 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10821536796437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6395706481 + ... + 6395708172.

It is an arithmetic number, because the mean of its divisors is an integer number (997730343012).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10821536796438 = 21643073592876, but 3⋅10821536796438 = 32464610389314 is not.

Almost surely, 210821536796438 is an apocalyptic number.

10821536796438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10821536796438 is an abundant number, since it is smaller than the sum of its proper divisors (13123991435850).

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

10821536796438 is a wasteful number, since it uses less digits than its factorization.

10821536796438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12791414708 (or 12791414705 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 10821536796438 in words is "ten trillion, eight hundred twenty-one billion, five hundred thirty-six million, seven hundred ninety-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 12791414653 25582829306 38374243959 76748487918 115122731877 230245463754 601196488691 1202392977382 1803589466073 3607178932146 5410768398219 10821536796438