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85534466832 = 243465998817
BaseRepresentation
bin100111110101001000…
…0000110001100010000
322011210001012010020000
41033222100012030100
52400133310414312
6103143300250000
76115423654263
oct1175220061420
9264701163200
1085534466832
1133302a81a11
12146b13a0900
1380b1925969
1441d5c04cda
1523592eaadc
hex13ea406310

85534466832 has 50 divisors (see below), whose sum is σ = 247561566318. Its totient is φ = 28511488512.

The previous prime is 85534466827. The next prime is 85534466837. The reversal of 85534466832 is 23866443558.

85534466832 is a `hidden beast` number, since 8 + 5 + 534 + 46 + 68 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (85534466827) and next prime (85534466837).

It can be written as a sum of positive squares in only one way, i.e., 85429936656 + 104530176 = 292284^2 + 10224^2 .

It is a super-2 number, since 2×855344668322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85534466837) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 32998113 + ... + 33000704.

Almost surely, 285534466832 is an apocalyptic number.

It is an amenable number.

85534466832 is an abundant number, since it is smaller than the sum of its proper divisors (162027099486).

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

85534466832 is a wasteful number, since it uses less digits than its factorization.

85534466832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65998837 (or 65998822 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 85534466832 in words is "eighty-five billion, five hundred thirty-four million, four hundred sixty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 65998817 131997634 197996451 263995268 395992902 527990536 593989353 791985804 1055981072 1187978706 1583971608 1781968059 2375957412 3167943216 3563936118 4751914824 5345904177 7127872236 9503829648 10691808354 14255744472 21383616708 28511488944 42767233416 85534466832