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1003496209716 = 223721113109110939
BaseRepresentation
bin11101001101001010000…
…10001111110100110100
310112221012101011021120210
432212211002033310310
5112420130012202331
62044555542225420
7132333400021200
oct16464502176464
93487171137523
101003496209716
113576424a4010
12142598a25270
1373824708ba0
14367d88d9b00
151b183675446
hexe9a508fd34

1003496209716 has 288 divisors, whose sum is σ = 3203185789440. Its totient is φ = 240355987200.

The previous prime is 1003496209691. The next prime is 1003496209721. The reversal of 1003496209716 is 6179026943001.

1003496209716 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 91730175 + ... + 91741113.

It is an arithmetic number, because the mean of its divisors is an integer number (11122172880).

Almost surely, 21003496209716 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 1003496209716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601592894720).

1003496209716 is an abundant number, since it is smaller than the sum of its proper divisors (2199689579724).

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

1003496209716 is a wasteful number, since it uses less digits than its factorization.

1003496209716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12075 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 1003496209716 in words is "one trillion, three billion, four hundred ninety-six million, two hundred nine thousand, seven hundred sixteen".