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1026852801156 = 223571346724859
BaseRepresentation
bin11101111000101010011…
…00100100101010000100
310122011111010201001200000
432330111030210222010
5113310443304114111
62103421335121300
7134121240540030
oct16742514445204
93564433631600
101026852801156
113665386aa946
12147016b13230
1375aa761b4b0
14379b28cd1c0
151ba9de21c56
hexef15324a84

1026852801156 has 288 divisors, whose sum is σ = 3320201364480. Its totient is φ = 270227539584.

The previous prime is 1026852801077. The next prime is 1026852801277. The reversal of 1026852801156 is 6511082586201.

1026852801156 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 8 + 528 + 0 + 115 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41294655 + ... + 41319513.

It is an arithmetic number, because the mean of its divisors is an integer number (11528476960).

Almost surely, 21026852801156 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 1026852801156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660100682240).

1026852801156 is an abundant number, since it is smaller than the sum of its proper divisors (2293348563324).

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

1026852801156 is a wasteful number, since it uses less digits than its factorization.

1026852801156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25365 (or 25351 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 1026852801156 in words is "one trillion, twenty-six billion, eight hundred fifty-two million, eight hundred one thousand, one hundred fifty-six".