Search a number
-
+
71265205512 = 2334104872
BaseRepresentation
bin100001001011110111…
…1001011110100001000
320210221121001112120000
41002113233023310020
52131422343034022
652423324403000
75102006152314
oct1022757136410
9223847045500
1071265205512
1128250394766
121198a6a6460
1369495bc277
143640a7ab44
151cc172b6ac
hex1097bcbd08

71265205512 has 60 divisors (see below), whose sum is σ = 199627597455. Its totient is φ = 23752803312.

The previous prime is 71265205493. The next prime is 71265205541. The reversal of 71265205512 is 21550256217.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

71265205512 is a `hidden beast` number, since 7 + 126 + 520 + 5 + 5 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35632602756 + 35632602756 = 188766^2 + 188766^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=188766.

It is a super-3 number, since 3×712652055123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6790333 + ... + 6800819.

Almost surely, 271265205512 is an apocalyptic number.

71265205512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71265205512 is an abundant number, since it is smaller than the sum of its proper divisors (128362391943).

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

71265205512 is an frugal number, since it uses more digits than its factorization.

71265205512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20992 (or 10492 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 71265205512 in words is "seventy-one billion, two hundred sixty-five million, two hundred five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 10487 20974 31461 41948 62922 83896 94383 125844 188766 251688 283149 377532 566298 755064 849447 1132596 1698894 2265192 3397788 6795576 109977169 219954338 329931507 439908676 659863014 879817352 989794521 1319726028 1979589042 2639452056 2969383563 3959178084 5938767126 7918356168 8908150689 11877534252 17816301378 23755068504 35632602756 71265205512