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4270639982400 = 2634521110727997
BaseRepresentation
bin111110001001010101111…
…110101010011101000000
3120010021021020120022010000
4332021111332222131000
51024432232313414100
613025523244040000
7620354303621511
oct76112576523500
916107236508100
104270639982400
1113a7193a31110
1258b818833000
1324c94801965c
1410a9b302aa08
1576150d09900
hex3e255faa740

4270639982400 has 840 divisors, whose sum is σ = 17285533806816. Its totient is φ = 1025594265600.

The previous prime is 4270639982393. The next prime is 4270639982407. The reversal of 4270639982400 is 42899360724.

4270639982400 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 6 + 399 + 8 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4270639982393) and next prime (4270639982407).

It is a super-5 number, since 5×42706399824005 (a number of 64 digits) contains 55555 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270639982407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 152525202 + ... + 152553198.

Almost surely, 24270639982400 is an apocalyptic number.

4270639982400 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 4270639982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642766903408).

4270639982400 is an abundant number, since it is smaller than the sum of its proper divisors (13014893824416).

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

4270639982400 is a wasteful number, since it uses less digits than its factorization.

4270639982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28149 (or 28125 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4270639982400 in words is "four trillion, two hundred seventy billion, six hundred thirty-nine million, nine hundred eighty-two thousand, four hundred".