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3887778166272 = 293571113193153
BaseRepresentation
bin111000100100110001101…
…000101111011000000000
3111202200000221111212200000
4320210301220233120000
51002144132202310042
612134004242400000
7550611524106240
oct70446150573000
914680027455600
103887778166272
111269885469a40
12529589060000
132228011c4220
14d6253037b20
156b1e3cd174c
hex38931a2f600

3887778166272 has 3840 divisors, whose sum is σ = 17296172974080. Its totient is φ = 838464307200.

The previous prime is 3887778166249. The next prime is 3887778166309. The reversal of 3887778166272 is 2726618777883.

It is a happy number.

It is a super-2 number, since 2×38877781662722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3887778166272.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 73354304998 + ... + 73354305050.

It is an arithmetic number, because the mean of its divisors is an integer number (4504211712).

Almost surely, 23887778166272 is an apocalyptic number.

3887778166272 is a gapful number since it is divisible by the number (32) 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 3887778166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648086487040).

3887778166272 is an abundant number, since it is smaller than the sum of its proper divisors (13408394807808).

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

3887778166272 is a wasteful number, since it uses less digits than its factorization.

3887778166272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its digits is 531062784, while the sum is 72.

The spelling of 3887778166272 in words is "three trillion, eight hundred eighty-seven billion, seven hundred seventy-eight million, one hundred sixty-six thousand, two hundred seventy-two".