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10842364824 = 2333159924329
BaseRepresentation
bin10100001100100000…
…10101101110011000
31000222121211012102120
422012100111232120
5134201121133244
64551513301240
7532453403034
oct120620255630
930877735376
1010842364824
114664261195
122127104820
13103a3843b5
1474bd991c4
15436d02819
hex286415b98

10842364824 has 64 divisors (see below), whose sum is σ = 28028160000. Its totient is φ = 3491554560.

The previous prime is 10842364823. The next prime is 10842364849. The reversal of 10842364824 is 42846324801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10842364823) 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, 433492 + ... + 457820.

It is an arithmetic number, because the mean of its divisors is an integer number (437940000).

Almost surely, 210842364824 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 10842364824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014080000).

10842364824 is an abundant number, since it is smaller than the sum of its proper divisors (17185795176).

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

10842364824 is a wasteful number, since it uses less digits than its factorization.

10842364824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24968 (or 24964 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 10842364824 in words is "ten billion, eight hundred forty-two million, three hundred sixty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 599 744 1198 1797 2396 3594 4792 7188 14376 18569 24329 37138 48658 55707 72987 74276 97316 111414 145974 148552 194632 222828 291948 445656 583896 754199 1508398 2262597 3016796 4525194 6033592 9050388 14573071 18100776 29146142 43719213 58292284 87438426 116584568 174876852 349753704 451765201 903530402 1355295603 1807060804 2710591206 3614121608 5421182412 10842364824