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10000326048 = 253831916571
BaseRepresentation
bin10010101000001000…
…01101110110100000
3221210221101012101020
421110010031312200
5130440040413143
64332153405440
7502550240346
oct112404156640
927727335336
1010000326048
114271a17a79
121b31109880
13c34aa29bb
146ac209996
153d7e24883
hex25410dda0

10000326048 has 96 divisors (see below), whose sum is σ = 26710290432. Its totient is φ = 3275539200.

The previous prime is 10000326047. The next prime is 10000326151. The reversal of 10000326048 is 84062300001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10000326047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518603 + ... + 1525173.

It is an arithmetic number, because the mean of its divisors is an integer number (278232192).

Almost surely, 210000326048 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 10000326048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355145216).

10000326048 is an abundant number, since it is smaller than the sum of its proper divisors (16709964384).

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

10000326048 is a wasteful number, since it uses less digits than its factorization.

10000326048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10000326048 its reverse (84062300001), we get a palindrome (94062626049).

The spelling of 10000326048 in words is "ten billion, three hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 191 249 332 382 498 573 664 764 996 1146 1328 1528 1992 2292 2656 3056 3984 4584 6112 6571 7968 9168 13142 15853 18336 19713 26284 31706 39426 47559 52568 63412 78852 95118 105136 126824 157704 190236 210272 253648 315408 380472 507296 545393 630816 760944 1090786 1255061 1521888 1636179 2181572 2510122 3272358 3765183 4363144 5020244 6544716 7530366 8726288 10040488 13089432 15060732 17452576 20080976 26178864 30121464 40161952 52357728 60242928 104170063 120485856 208340126 312510189 416680252 625020378 833360504 1250040756 1666721008 2500081512 3333442016 5000163024 10000326048