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7002402083040 = 25357213239111093
BaseRepresentation
bin110010111100101111110…
…1100000101000011100000
3220210102102102220102211210
41211321133230011003200
51404211404413124130
622520505322310120
71321623023430600
oct145713754050340
926712372812753
107002402083040
11225a77a472941
12951142358340
133ba429193440
141a2cbd278c00
15c22365375b0
hex65e5fb050e0

7002402083040 has 1152 divisors, whose sum is σ = 28892031823872. Its totient is φ = 1410351022080.

The previous prime is 7002402082999. The next prime is 7002402083081. The reversal of 7002402083040 is 403802042007.

It is an interprime number because it is at equal distance from previous prime (7002402082999) and next prime (7002402083081).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7002402082989 and 7002402083007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6406588734 + ... + 6406589826.

It is an arithmetic number, because the mean of its divisors is an integer number (25079888736).

Almost surely, 27002402083040 is an apocalyptic number.

7002402083040 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 7002402083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446015911936).

7002402083040 is an abundant number, since it is smaller than the sum of its proper divisors (21889629740832).

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

7002402083040 is a wasteful number, since it uses less digits than its factorization.

7002402083040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 7002402083040 in words is "seven trillion, two billion, four hundred two million, eighty-three thousand, forty".