Search a number
-
+
76285596480 = 2635331240073
BaseRepresentation
bin100011100001011111…
…0011101001101000000
321021220110210211021020
41013002332131031000
52222213103041410
655013425025440
75340266604552
oct1070276351500
9237813724236
1076285596480
112a397259805
121294ba85280
13726973a202
1439997294d2
151eb735ea70
hex11c2f9d340

76285596480 has 112 divisors (see below), whose sum is σ = 242939523264. Its totient is φ = 20281282560.

The previous prime is 76285596463. The next prime is 76285596487. The reversal of 76285596480 is 8469558267.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76285596487) 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 15 ways as a sum of consecutive naturals, for example, 197724 + ... + 437796.

Almost surely, 276285596480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76285596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121469761632).

76285596480 is an abundant number, since it is smaller than the sum of its proper divisors (166653926784).

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

76285596480 is a wasteful number, since it uses less digits than its factorization.

76285596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240424 (or 240414 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 76285596480 in words is "seventy-six billion, two hundred eighty-five million, five hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 331 480 662 960 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 9930 10592 13240 15888 19860 21184 26480 31776 39720 52960 63552 79440 105920 158880 240073 317760 480146 720219 960292 1200365 1440438 1920584 2400730 2880876 3601095 3841168 4801460 5761752 7202190 7682336 9602920 11523504 14404380 15364672 19205840 23047008 28808760 38411680 46094016 57617520 76823360 79464163 115235040 158928326 230470080 238392489 317856652 397320815 476784978 635713304 794641630 953569956 1191962445 1271426608 1589283260 1907139912 2383924890 2542853216 3178566520 3814279824 4767849780 5085706432 6357133040 7628559648 9535699560 12714266080 15257119296 19071399120 25428532160 38142798240 76285596480