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2652045919488 = 28377296671
BaseRepresentation
bin100110100101111010010…
…000010100010100000000
3100101112101122021120000000
4212211322100110110000
5321422342223410423
65350155540000000
7362414112241500
oct46457220242400
910345348246000
102652045919488
119327a9867a89
12369b98990000
13163118a95934
1492507073a00
1548ebc123843
hex2697a414500

2652045919488 has 432 divisors, whose sum is σ = 9235710328320. Its totient is φ = 757719567360.

The previous prime is 2652045919469. The next prime is 2652045919493. The reversal of 2652045919488 is 8849195402562.

2652045919488 is a `hidden beast` number, since 2 + 6 + 5 + 20 + 45 + 91 + 9 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27385393 + ... + 27482063.

Almost surely, 22652045919488 is an apocalyptic number.

2652045919488 is a gapful number since it is divisible by the number (28) 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 2652045919488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617855164160).

2652045919488 is an abundant number, since it is smaller than the sum of its proper divisors (6583664408832).

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

2652045919488 is an frugal number, since it uses more digits than its factorization.

2652045919488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96722 (or 96683 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 2652045919488 in words is "two trillion, six hundred fifty-two billion, forty-five million, nine hundred nineteen thousand, four hundred eighty-eight".