Search a number
-
+
7946982144 = 28331149737
BaseRepresentation
bin1110110011010110…
…10101001100000000
3202111211122112002000
413121223111030000
5112233411412034
63352323224000
7400635143103
oct73153251400
922454575060
107946982144
113408956342
121659518000
1399856c1ca
1455562673a
15317a26599
hex1d9ad5300

7946982144 has 72 divisors (see below), whose sum is σ = 23500644720. Its totient is φ = 2648991744.

The previous prime is 7946982139. The next prime is 7946982157. The reversal of 7946982144 is 4412896497.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567957 + ... + 581780.

Almost surely, 27946982144 is an apocalyptic number.

It is an amenable number.

7946982144 is an abundant number, since it is smaller than the sum of its proper divisors (15553662576).

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

7946982144 is a wasteful number, since it uses less digits than its factorization.

7946982144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149762 (or 1149742 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 7946982144 is about 89145.8475981916. The cubic root of 7946982144 is about 1995.5720491940.

The spelling of 7946982144 in words is "seven billion, nine hundred forty-six million, nine hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 1149737 2299474 3449211 4598948 6898422 9197896 10347633 13796844 18395792 20695266 27593688 31042899 36791584 41390532 55187376 62085798 73583168 82781064 110374752 124171596 147166336 165562128 220749504 248343192 294332672 331124256 441499008 496686384 662248512 882998016 993372768 1324497024 1986745536 2648994048 3973491072 7946982144