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2685693642240 = 293571943471301
BaseRepresentation
bin100111000101001111110…
…100001100011000000000
3100111202020121101222021210
4213011033310030120000
5323000300033022430
65413442435250120
7365014664203530
oct47051764143000
910452217358253
102685693642240
11945aa6055114
12374609449940
1316634baa985b
1493db9b314c0
1549cdb0d92b0
hex2714fd0c600

2685693642240 has 1280 divisors, whose sum is σ = 10802188615680. Its totient is φ = 555525734400.

The previous prime is 2685693642199. The next prime is 2685693642241. The reversal of 2685693642240 is 422463965862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×26856936422402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685693642241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2064329590 + ... + 2064330890.

It is an arithmetic number, because the mean of its divisors is an integer number (8439209856).

Almost surely, 22685693642240 is an apocalyptic number.

2685693642240 is a gapful number since it is divisible by the number (20) 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 2685693642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401094307840).

2685693642240 is an abundant number, since it is smaller than the sum of its proper divisors (8116494973440).

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

2685693642240 is a wasteful number, since it uses less digits than its factorization.

2685693642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 2685693642240 in words is "two trillion, six hundred eighty-five billion, six hundred ninety-three million, six hundred forty-two thousand, two hundred forty".