Search a number
-
+
76151713936 = 2419236312
BaseRepresentation
bin100011011101011111…
…1101111000010010000
321021120010212212221111
41012322333233002100
52221424314321221
654552243303104
75334052613464
oct1067277570220
9237503785844
1076151713936
112a328725881
121291307aa94
137247a9247c
143985a384a4
151eaa715be1
hex11bafef090

76151713936 has 45 divisors (see below), whose sum is σ = 155761023123. Its totient is φ = 36061930080.

The previous prime is 76151713919. The next prime is 76151713973. The reversal of 76151713936 is 63931715167.

The square root of 76151713936 is 275956.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×761517139362 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76151713936.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20970841 + ... + 20974471.

Almost surely, 276151713936 is an apocalyptic number.

76151713936 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

76151713936 is the 275956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76151713936

76151713936 is an abundant number, since it is smaller than the sum of its proper divisors (79609309187).

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

76151713936 is an frugal number, since it uses more digits than its factorization.

76151713936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308 (or 3652 counting only the distinct ones).

The product of its digits is 714420, while the sum is 49.

Multiplying 76151713936 by its sum of digits (49), we get a square (3731433982864 = 19316922).

The spelling of 76151713936 in words is "seventy-six billion, one hundred fifty-one million, seven hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 3631 5776 7262 14524 29048 58096 68989 137978 275956 551912 1103824 1310791 2621582 5243164 10486328 13184161 20972656 26368322 52736644 105473288 210946576 250499059 500998118 1001996236 2003992472 4007984944 4759482121 9518964242 19037928484 38075856968 76151713936