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1002625489152 = 2833747795581
BaseRepresentation
bin11101001011100010010…
…00101101100100000000
310112211221200202002112000
432211301020231210000
5112411334111123102
62044333315504000
7132302665020240
oct16456110554400
93484850662460
101002625489152
11357235a4a841
121423952b8000
13737161c4511
1436755001b20
151b131ece01c
hexe97122d900

1002625489152 has 576 divisors, whose sum is σ = 3505031577600. Its totient is φ = 276770856960.

The previous prime is 1002625489139. The next prime is 1002625489183. The reversal of 1002625489152 is 2519845262001.

1002625489152 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 625 + 4 + 8 + 9 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 1002625489098 and 1002625489107.

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, 179647002 + ... + 179652582.

Almost surely, 21002625489152 is an apocalyptic number.

1002625489152 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 1002625489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752515788800).

1002625489152 is an abundant number, since it is smaller than the sum of its proper divisors (2502406088448).

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

1002625489152 is an equidigital number, since it uses as much as digits as its factorization.

1002625489152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1002625489152 in words is "one trillion, two billion, six hundred twenty-five million, four hundred eighty-nine thousand, one hundred fifty-two".