Search a number
-
+
29377483039872 = 27321121913979801
BaseRepresentation
bin1101010110111111110100…
…11100001110010010000000
310212000110102022012121112200
412223133322130032102000
512322310041124233442
6142251455052153200
76121311262500132
oct653377234162200
9125013368177480
1029377483039872
1193a6a14341100
123365677768800
13135139181a0c6
14737c40837052
1535e29826434c
hex1ab7fa70e480

29377483039872 has 576 divisors, whose sum is σ = 98516047812000. Its totient is φ = 8372947968000.

The previous prime is 29377483039859. The next prime is 29377483039907. The reversal of 29377483039872 is 27893038477392.

29377483039872 is a `hidden beast` number, since 2 + 9 + 3 + 77 + 483 + 0 + 3 + 9 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29377483039872.

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 71 ways as a sum of consecutive naturals, for example, 368094372 + ... + 368174172.

Almost surely, 229377483039872 is an apocalyptic number.

29377483039872 is a gapful number since it is divisible by the number (22) 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 29377483039872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49258023906000).

29377483039872 is an abundant number, since it is smaller than the sum of its proper divisors (69138564772128).

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

29377483039872 is a wasteful number, since it uses less digits than its factorization.

29377483039872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80001 (or 79975 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 29377483039872 in words is "twenty-nine trillion, three hundred seventy-seven billion, four hundred eighty-three million, thirty-nine thousand, eight hundred seventy-two".