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76809693345 = 35711127523637
BaseRepresentation
bin100011110001000110…
…1101110100010100001
321100020222222201000020
41013202031232202201
52224301240141340
655141430144053
75356262423010
oct1074215564241
9240228881006
1076809693345
112a636084510
1212a774b2029
1373211ab3b8
143a09194a77
151ee83879d0
hex11e236e8a1

76809693345 has 64 divisors (see below), whose sum is σ = 154427129856. Its totient is φ = 31669505280.

The previous prime is 76809693343. The next prime is 76809693349. The reversal of 76809693345 is 54339690867.

It is not a de Polignac number, because 76809693345 - 21 = 76809693343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76809693343) 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 63 ways as a sum of consecutive naturals, for example, 115134 + ... + 408503.

It is an arithmetic number, because the mean of its divisors is an integer number (2412923904).

Almost surely, 276809693345 is an apocalyptic number.

It is an amenable number.

76809693345 is an abundant number, since it is smaller than the sum of its proper divisors (77617436511).

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

76809693345 is a wasteful number, since it uses less digits than its factorization.

76809693345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523790.

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 76809693345 in words is "seventy-six billion, eight hundred nine million, six hundred ninety-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 127 165 231 381 385 635 889 1155 1397 1905 2667 4191 4445 6985 9779 13335 20955 29337 48895 146685 523637 1570911 2618185 3665459 5760007 7854555 10996377 17280021 18327295 28800035 40320049 54981885 66501899 86400105 120960147 199505697 201600245 332509495 465513293 604800735 731520889 997528485 1396539879 2194562667 2327566465 3657604445 5120646223 6982699395 10972813335 15361938669 25603231115 76809693345