Search a number
-
+
47023194240 = 27325112195367
BaseRepresentation
bin101011110010110011…
…010000000010000000
311111101010102202210200
4223302303100002000
51232300414203430
633334022125200
73253164361521
oct536263200200
9144333382720
1047023194240
1118a40404900
129143b80800
1345851197b9
1423c1244848
151353383460
hexaf2cd0080

47023194240 has 1152 divisors, whose sum is σ = 194275972800. Its totient is φ = 10437672960.

The previous prime is 47023194209. The next prime is 47023194241. The reversal of 47023194240 is 4249132074.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×470231942402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 47023194195 and 47023194204.

It is not an unprimeable number, because it can be changed into a prime (47023194241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 701838687 + ... + 701838753.

Almost surely, 247023194240 is an apocalyptic number.

47023194240 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 47023194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97137986400).

47023194240 is an abundant number, since it is smaller than the sum of its proper divisors (147252778560).

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

47023194240 is a wasteful number, since it uses less digits than its factorization.

47023194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 47023194240 in words is "forty-seven billion, twenty-three million, one hundred ninety-four thousand, two hundred forty".