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85470000777 = 3273724432237
BaseRepresentation
bin100111110011001101…
…0001011011010001001
322011121112212220102100
41033212122023122021
52400020310011102
6103133034424013
76114012006510
oct1174632133211
9264545786370
1085470000777
113327a650687
1214693892009
1380a1473c75
1441cb423677
152353814a1c
hex13e668b689

85470000777 has 72 divisors (see below), whose sum is σ = 145402036416. Its totient is φ = 47391537024.

The previous prime is 85470000757. The next prime is 85470000787. The reversal of 85470000777 is 77700007458.

It is a happy number.

It is not a de Polignac number, because 85470000777 - 219 = 85469476489 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85470000757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38206303 + ... + 38208539.

It is an arithmetic number, because the mean of its divisors is an integer number (2019472728).

Almost surely, 285470000777 is an apocalyptic number.

It is an amenable number.

85470000777 is a deficient number, since it is larger than the sum of its proper divisors (59932035639).

85470000777 is a wasteful number, since it uses less digits than its factorization.

85470000777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The spelling of 85470000777 in words is "eighty-five billion, four hundred seventy million, seven hundred seventy-seven", and thus it is an aban number.

Divisors: 1 3 7 9 21 37 63 111 259 333 443 777 1329 1369 2237 2331 3101 3987 4107 6711 9303 9583 12321 15659 16391 20133 27909 28749 46977 49173 82769 86247 114737 140931 147519 248307 344211 579383 606467 744921 990991 1032633 1738149 1819401 2972973 3062453 4245269 5214447 5458203 6936937 8918919 9187359 12735807 20810811 21437171 27562077 36666667 38207421 62432433 64311513 110000001 192934539 256666669 330000003 770000007 1356666679 2310000021 4070000037 9496666753 12210000111 28490000259 85470000777