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4685695938000 = 2434537112912953
BaseRepresentation
bin100010000101111100100…
…1111011110110111010000
3121120221121012120110110000
41010023321033132313100
51103232301130004000
613544325021410000
7662346625213020
oct104137117366720
917527535513400
104685695938000
111547213223820
12638152109900
1327cb22965b5c
14122b08a1ba80
1581d443bc000
hex442f93dedd0

4685695938000 has 1600 divisors, whose sum is σ = 21830719173120. Its totient is φ = 940004352000.

The previous prime is 4685695937987. The next prime is 4685695938017. The reversal of 4685695938000 is 8395965864.

4685695938000 is a `hidden beast` number, since 4 + 68 + 569 + 5 + 9 + 3 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 361739524 + ... + 361752476.

Almost surely, 24685695938000 is an apocalyptic number.

4685695938000 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 4685695938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10915359586560).

4685695938000 is an abundant number, since it is smaller than the sum of its proper divisors (17145023235120).

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

4685695938000 is a wasteful number, since it uses less digits than its factorization.

4685695938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035 (or 13010 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 4685695938000 in words is "four trillion, six hundred eighty-five billion, six hundred ninety-five million, nine hundred thirty-eight thousand".