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10525425002144 = 2513149191889051
BaseRepresentation
bin1001100100101010010000…
…1101111110011010100000
31101021012221222001220012222
42121022210031332122200
52334422032300032034
634215151414210212
72134302562231433
oct231124415763240
941235858056188
1010525425002144
11339889801a988
12121ba93653968
135b470a896260
1428560cd2b81a
15133bccbea12e
hex992a437e6a0

10525425002144 has 96 divisors (see below), whose sum is σ = 22583343283200. Its totient is φ = 4800016512000.

The previous prime is 10525425002137. The next prime is 10525425002201. The reversal of 10525425002144 is 44120052452501.

It is a super-2 number, since 2×105254250021442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11394419 + ... + 12283469.

It is an arithmetic number, because the mean of its divisors is an integer number (235243159200).

Almost surely, 210525425002144 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 10525425002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11291671641600).

10525425002144 is an abundant number, since it is smaller than the sum of its proper divisors (12057918281056).

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

10525425002144 is a wasteful number, since it uses less digits than its factorization.

10525425002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889414 (or 889406 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 10525425002144 its reverse (44120052452501), we get a palindrome (54645477454645).

The spelling of 10525425002144 in words is "ten trillion, five hundred twenty-five billion, four hundred twenty-five million, two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 191 208 298 382 416 596 764 1192 1528 1937 2384 2483 3056 3874 4768 4966 6112 7748 9932 15496 19864 28459 30992 39728 56918 61984 79456 113836 227672 369967 455344 739934 889051 910688 1479868 1778102 2959736 3556204 5919472 7112408 11557663 11838944 14224816 23115326 28449632 46230652 92461304 132468599 169808741 184922608 264937198 339617482 369845216 529874396 679234964 1059748792 1358469928 1722091787 2119497584 2207513633 2716939856 3444183574 4238995168 4415027266 5433879712 6888367148 8830054532 13776734296 17660109064 25301502409 27553468592 35320218128 50603004818 55106937184 70640436256 101206009636 202412019272 328919531317 404824038544 657839062634 809648077088 1315678125268 2631356250536 5262712501072 10525425002144