Search a number
-
+
10327050336000 = 283532931119659
BaseRepresentation
bin1001011001000111010000…
…1010101011011100000000
31100120020220220010201121210
42112101310022223130000
52323144244341223000
633544103104450120
72114050635340206
oct226216412533400
940506826121553
1010327050336000
11332174a764102
1211a9550319940
1359bab520ccb8
14279b90a57076
1512d96c2cb350
hex964742ab700

10327050336000 has 576 divisors, whose sum is σ = 36629055590400. Its totient is φ = 2573125632000.

The previous prime is 10327050335981. The next prime is 10327050336037. The reversal of 10327050336000 is 63305072301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86244171 + ... + 86363829.

It is an arithmetic number, because the mean of its divisors is an integer number (63592110400).

Almost surely, 210327050336000 is an apocalyptic number.

10327050336000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10327050336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18314527795200).

10327050336000 is an abundant number, since it is smaller than the sum of its proper divisors (26302005254400).

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

10327050336000 is a wasteful number, since it uses less digits than its factorization.

10327050336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119753 (or 119729 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The spelling of 10327050336000 in words is "ten trillion, three hundred twenty-seven billion, fifty million, three hundred thirty-six thousand".