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10082524544 = 27977271117
BaseRepresentation
bin10010110001111011…
…10001110110000000
3222000200001022111222
421120331301312000
5131122111241134
64344251254212
7504566021201
oct113075616600
928020038458
1010082524544
11430435aa14
121b5474a368
13c48b22971
146b90c55a8
153e025ea2e
hex258f71d80

10082524544 has 64 divisors (see below), whose sum is σ = 20339460960. Its totient is φ = 4977967104.

The previous prime is 10082524499. The next prime is 10082524567. The reversal of 10082524544 is 44542528001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9025874 + ... + 9026990.

Almost surely, 210082524544 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 10082524544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169730480).

10082524544 is an abundant number, since it is smaller than the sum of its proper divisors (10256936416).

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

10082524544 is an equidigital number, since it uses as much as digits as its factorization.

10082524544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

The spelling of 10082524544 in words is "ten billion, eighty-two million, five hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 727 776 1117 1454 1552 2234 2908 3104 4468 5816 6208 8936 11632 12416 17872 23264 35744 46528 70519 71488 93056 108349 141038 142976 216698 282076 433396 564152 812059 866792 1128304 1624118 1733584 2256608 3248236 3467168 4513216 6496472 6934336 9026432 12992944 13868672 25985888 51971776 78769723 103943552 157539446 315078892 630157784 1260315568 2520631136 5041262272 10082524544