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1026216490572 = 22327131737694889
BaseRepresentation
bin11101110111011110100…
…01001111011001001100
310122002211210101010122100
432323233101033121030
5113303142410144242
62103234244515100
7134066413150110
oct16735721173114
93562753333570
101026216490572
11366241501329
12146a799aba90
1375a0584b460
14379521b3740
151ba6313054c
hexeeef44f64c

1026216490572 has 288 divisors, whose sum is σ = 3382066396800. Its totient is φ = 254610210816.

The previous prime is 1026216490547. The next prime is 1026216490643. The reversal of 1026216490572 is 2750946126201.

1026216490572 is a `hidden beast` number, since 1 + 0 + 2 + 62 + 16 + 4 + 9 + 0 + 572 = 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, 209900704 + ... + 209905592.

It is an arithmetic number, because the mean of its divisors is an integer number (11743286100).

Almost surely, 21026216490572 is an apocalyptic number.

1026216490572 is a gapful number since it is divisible by the number (12) 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 1026216490572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691033198400).

1026216490572 is an abundant number, since it is smaller than the sum of its proper divisors (2355849906228).

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

1026216490572 is a wasteful number, since it uses less digits than its factorization.

1026216490572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1026216490572 in words is "one trillion, twenty-six billion, two hundred sixteen million, four hundred ninety thousand, five hundred seventy-two".