Search a number
-
+
4371968950272 = 219347211191
BaseRepresentation
bin111111100111101101101…
…010000000000000000000
3120110221211000220012120000
4333213231222000000000
51033112243022402042
613144242123320000
7630602315630100
oct77475552000000
916427730805500
104371968950272
11143616154a470
125a7397680000
13259375c67301
1411186678d200
1578ad1a5774c
hex3f9eda80000

4371968950272 has 1200 divisors, whose sum is σ = 16662578169600. Its totient is φ = 1129630924800.

The previous prime is 4371968950249. The next prime is 4371968950301. The reversal of 4371968950272 is 2720598691734.

4371968950272 is a `hidden beast` number, since 4 + 37 + 1 + 96 + 8 + 9 + 502 + 7 + 2 = 666.

It is a super-2 number, since 2×43719689502722 (a number of 26 digits) contains 22 as substring.

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

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 59 ways as a sum of consecutive naturals, for example, 22889889697 + ... + 22889889887.

It is an arithmetic number, because the mean of its divisors is an integer number (13885481808).

It is a 1-persistent number, because it is pandigital, but 2⋅4371968950272 = 8743937900544 is not.

Almost surely, 24371968950272 is an apocalyptic number.

4371968950272 is a gapful number since it is divisible by the number (42) 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 4371968950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331289084800).

4371968950272 is an abundant number, since it is smaller than the sum of its proper divisors (12290609219328).

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

4371968950272 is an frugal number, since it uses more digits than its factorization.

4371968950272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4371968950272 in words is "four trillion, three hundred seventy-one billion, nine hundred sixty-eight million, nine hundred fifty thousand, two hundred seventy-two".