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900326130048 = 27341937312253
BaseRepresentation
bin11010001100111111001…
…11101000000110000000
310012001220021110012120000
431012133213220012000
5104222331442130143
61525334253320000
7122021630560002
oct15063747500600
93161807405500
10900326130048
1131790a6a1164
121265a5496000
1366b92205577
143180c83c372
1518645e9cbd3
hexd19f9e8180

900326130048 has 320 divisors, whose sum is σ = 2828166831600. Its totient is φ = 283528138752.

The previous prime is 900326130031. The next prime is 900326130061. The reversal of 900326130048 is 840031623009.

900326130048 is a `hidden beast` number, since 9 + 0 + 0 + 32 + 613 + 0 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 900326129994 and 900326130021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73471890 + ... + 73484142.

Almost surely, 2900326130048 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 900326130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414083415800).

900326130048 is an abundant number, since it is smaller than the sum of its proper divisors (1927840701552).

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

900326130048 is a wasteful number, since it uses less digits than its factorization.

900326130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12671 (or 12650 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

It can be divided in two parts, 9003261 and 30048, that added together give a palindrome (9033309).

The spelling of 900326130048 in words is "nine hundred billion, three hundred twenty-six million, one hundred thirty thousand, forty-eight".