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7090002148320 = 2534571331533659
BaseRepresentation
bin110011100101100010100…
…0011110011101111100000
3221002210112102212211110000
41213023011003303233200
51412130311022221240
623025034011540000
71331143601622120
oct147130503635740
927083472784400
107090002148320
112293942416503
1296610b45a600
133c5779a206b0
141a722d532c80
15c4661d52430
hex672c50f3be0

7090002148320 has 1920 divisors, whose sum is σ = 32398135418880. Its totient is φ = 1419954831360.

The previous prime is 7090002148309. The next prime is 7090002148331. The reversal of 7090002148320 is 238412000907.

7090002148320 is a `hidden beast` number, since 70 + 90 + 0 + 0 + 2 + 1 + 483 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (7090002148309) and next prime (7090002148331).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1937686651 + ... + 1937690309.

It is an arithmetic number, because the mean of its divisors is an integer number (16874028864).

Almost surely, 27090002148320 is an apocalyptic number.

7090002148320 is a gapful number since it is divisible by the number (70) 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 7090002148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199067709440).

7090002148320 is an abundant number, since it is smaller than the sum of its proper divisors (25308133270560).

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

7090002148320 is a wasteful number, since it uses less digits than its factorization.

7090002148320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 7090002148320 in words is "seven trillion, ninety billion, two million, one hundred forty-eight thousand, three hundred twenty".