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1050098828328 = 2332117932575153
BaseRepresentation
bin11110100011111101100…
…01001000010000101000
310201101111012012121002100
433101332301020100220
5114201100300001303
62122224142133400
7135603266524014
oct17217661102050
93641435177070
101050098828328
1137538745a150
1214b623b81260
137804065b964
1438b79d41544
151c4aeb2d8a3
hexf47ec48428

1050098828328 has 192 divisors, whose sum is σ = 3143412230400. Its totient is φ = 314026352640.

The previous prime is 1050098828323. The next prime is 1050098828357. The reversal of 1050098828328 is 8238288900501.

1050098828328 is a `hidden beast` number, since 1 + 0 + 500 + 9 + 88 + 28 + 32 + 8 = 666.

It is a super-2 number, since 2×10500988283282 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1050098828323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203781400 + ... + 203786552.

It is an arithmetic number, because the mean of its divisors is an integer number (16371938700).

Almost surely, 21050098828328 is an apocalyptic number.

1050098828328 is a gapful number since it is divisible by the number (18) 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 1050098828328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571706115200).

1050098828328 is an abundant number, since it is smaller than the sum of its proper divisors (2093313402072).

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

1050098828328 is a wasteful number, since it uses less digits than its factorization.

1050098828328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8512 (or 8505 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 1050098828328 in words is "one trillion, fifty billion, ninety-eight million, eight hundred twenty-eight thousand, three hundred twenty-eight".