Search a number
-
+
7971112152 = 233430014099
BaseRepresentation
bin1110110110001110…
…11000010011011000
3202120112001110020000
413123013120103120
5112311101042102
63354544333000
7401350223013
oct73307302330
922515043200
107971112152
1134205375a3
121665614160
139a056a413
1455890837a
15319be101c
hex1db1d84d8

7971112152 has 80 divisors (see below), whose sum is σ = 22339383000. Its totient is φ = 2655504000.

The previous prime is 7971112147. The next prime is 7971112159. The reversal of 7971112152 is 2512111797.

It is a super-2 number, since 2×79711121522 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971112159) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1942599 + ... + 1946697.

Almost surely, 27971112152 is an apocalyptic number.

7971112152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7971112152 is an abundant number, since it is smaller than the sum of its proper divisors (14368270848).

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

7971112152 is a wasteful number, since it uses less digits than its factorization.

7971112152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7118 (or 7105 counting only the distinct ones).

The product of its digits is 8820, while the sum is 36.

The square root of 7971112152 is about 89281.0850740514. The cubic root of 7971112152 is about 1997.5897759100.

The spelling of 7971112152 in words is "seven billion, nine hundred seventy-one million, one hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 3001 4099 6002 8198 9003 12004 12297 16396 18006 24008 24594 27009 32792 36012 36891 49188 54018 72024 73782 81027 98376 108036 110673 147564 162054 216072 221346 243081 295128 324108 332019 442692 486162 648216 664038 885384 972324 1328076 1944648 2656152 12301099 24602198 36903297 49204396 73806594 98408792 110709891 147613188 221419782 295226376 332129673 442839564 664259346 885679128 996389019 1328518692 1992778038 2657037384 3985556076 7971112152