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9938082456 = 2334101151847
BaseRepresentation
bin10010100000101101…
…10001101010011000
3221122121020220020000
421100112301222120
5130323122114311
64322051333000
7501163210221
oct112026615230
927577226200
109938082456
11423a874495
121b142b1160
13c24c1b783
146a3c46248
153d272c056
hex2505b1a98

9938082456 has 80 divisors (see below), whose sum is σ = 28111620240. Its totient is φ = 3279873600.

The previous prime is 9938082433. The next prime is 9938082457. The reversal of 9938082456 is 6542808399.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9938082457) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10476 + ... + 141371.

It is an arithmetic number, because the mean of its divisors is an integer number (351395253).

Almost surely, 29938082456 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 9938082456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055810120).

9938082456 is an abundant number, since it is smaller than the sum of its proper divisors (18173537784).

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

9938082456 is a wasteful number, since it uses less digits than its factorization.

9938082456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151966 (or 151953 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 9938082456 is about 99689.9315678369. The cubic root of 9938082456 is about 2149.9789041377.

The spelling of 9938082456 in words is "nine billion, nine hundred thirty-eight million, eighty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 303 324 404 606 648 808 909 1212 1818 2424 2727 3636 5454 7272 8181 10908 16362 21816 32724 65448 151847 303694 455541 607388 911082 1214776 1366623 1822164 2733246 3644328 4099869 5466492 8199738 10932984 12299607 15336547 16399476 24599214 30673094 32798952 46009641 49198428 61346188 92019282 98396856 122692376 138028923 184038564 276057846 368077128 414086769 552115692 828173538 1104231384 1242260307 1656347076 2484520614 3312694152 4969041228 9938082456