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4675903798720 = 2657117911512087
BaseRepresentation
bin100010000001011000110…
…0101011011110111000000
3121120000022202221020121211
41010002301211123313000
51103102222333024340
613540025222055504
7661552153335010
oct104026145336700
917500282836554
104675903798720
111543048880630
1263627a87a594
1327bc220558bb
1412245a325c40
158196e8bc5ea
hex440b195bdc0

4675903798720 has 448 divisors, whose sum is σ = 14076645212160. Its totient is φ = 1437037056000.

The previous prime is 4675903798673. The next prime is 4675903798721. The reversal of 4675903798720 is 278973095764.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4675903798721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2240489517 + ... + 2240491603.

Almost surely, 24675903798720 is an apocalyptic number.

4675903798720 is a gapful number since it is divisible by the number (40) 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 4675903798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038322606080).

4675903798720 is an abundant number, since it is smaller than the sum of its proper divisors (9400741413440).

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

4675903798720 is a wasteful number, since it uses less digits than its factorization.

4675903798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 67.

The spelling of 4675903798720 in words is "four trillion, six hundred seventy-five billion, nine hundred three million, seven hundred ninety-eight thousand, seven hundred twenty".