Search a number
-
+
47158272000 = 213325371743
BaseRepresentation
bin101011111010110110…
…100010000000000000
311111201112121102122200
4223322312202000000
51233040004201000
633355245233200
73256424461320
oct537266420000
9144645542580
1047158272000
1118aaa684814
129181262800
1345a70c2578
1423d5167280
151360166500
hexafada2000

47158272000 has 1344 divisors, whose sum is σ = 210511851264. Its totient is φ = 9909043200.

The previous prime is 47158271989. The next prime is 47158272053. The reversal of 47158272000 is 27285174.

47158272000 is a `hidden beast` number, since 4 + 7 + 1 + 582 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1096703979 + ... + 1096704021.

Almost surely, 247158272000 is an apocalyptic number.

47158272000 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 47158272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105255925632).

47158272000 is an abundant number, since it is smaller than the sum of its proper divisors (163353579264).

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

47158272000 is a wasteful number, since it uses less digits than its factorization.

47158272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 47158272000 in words is "forty-seven billion, one hundred fifty-eight million, two hundred seventy-two thousand".